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Grade
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Questions10
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1

Find the value of x in the proportion

x :6 = 42:12

2

Find the value of x in the proportion

x :23 = 128:184

3

Find the value of x in the proportion

5:6 = 45: x

4

Find the value of x in the proportion

20:11 = 120: x

5

Find the value of x in the proportion

x :7 = 10:35

6

Find the value of x in the proportion

25: x = 225:117

7

Find the value of x in the proportion

x :22 = 24:176

8

Find the value of x in the proportion

x :24 = 14:48

9

Find the value of x in the proportion

16:5 = x:15

10

Find the value of x in the proportion

2:7 = 18: x

Answers Key

Show All Workout

1

Find the value of x in the proportion

21:6 = 42:12

step 1

Write the given ratios in fraction form

y:6 =

y6

42:12 =

4212

step 2

Find the Means & Extremes

x 12 = 42 x 6

Extremes = 12, y

Means = 42, 6

y6

=

4212

Extremes = 12, y

Means = 42, 6

step 3

Rearrange the statement to find y

y = 21

y =

42 x 612

step 4

The missing term in the proportion is 21

Therefore the proportion is 21:6 = 42:12

Therefore the proportion is 21:6 = 42:12

2

Find the value of x in the proportion

16:23 = 128:184

step 1

Write the given ratios in fraction form

y:23 =

y23

128:184 =

128184

step 2

Find the Means & Extremes

x 184 = 128 x 23

Extremes = 184, y

Means = 128, 23

y23

=

128184

Extremes = 184, y

Means = 128, 23

step 3

Rearrange the statement to find y

y = 16

y =

128 x 23184

step 4

The missing term in the proportion is 16

Therefore the proportion is 16:23 = 128:184

Therefore the proportion is 16:23 = 128:184

3

Find the value of x in the proportion

5:6 = 45:54

step 1

Write the given ratios in fraction form

5:6 =

56

45:y =

45y

step 2

Find the Means & Extremes

5 x y = 45 x 6

Extremes = 5, y

Means = 45, 6

56

=

45y

Extremes = 5, y

Means = 45, 6

step 3

Rearrange the statement to find y

y = 54

y =

45 x 65

step 4

The missing term in the proportion is 54

Therefore the proportion is 5:6 = 45:54

Therefore the proportion is 5:6 = 45:54

4

Find the value of x in the proportion

20:11 = 120:66

step 1

Write the given ratios in fraction form

20:11 =

2011

120:y =

120y

step 2

Find the Means & Extremes

20 x y = 120 x 11

Extremes = 20, y

Means = 120, 11

2011

=

120y

Extremes = 20, y

Means = 120, 11

step 3

Rearrange the statement to find y

y = 66

y =

120 x 1120

step 4

The missing term in the proportion is 66

Therefore the proportion is 20:11 = 120:66

Therefore the proportion is 20:11 = 120:66

5

Find the value of x in the proportion

2:7 = 10:35

step 1

Write the given ratios in fraction form

y:7 =

y7

10:35 =

1035

step 2

Find the Means & Extremes

x 35 = 10 x 7

Extremes = 35, y

Means = 10, 7

y7

=

1035

Extremes = 35, y

Means = 10, 7

step 3

Rearrange the statement to find y

y = 2

y =

10 x 735

step 4

The missing term in the proportion is 2

Therefore the proportion is 2:7 = 10:35

Therefore the proportion is 2:7 = 10:35

6

Find the value of x in the proportion

25: 13 = 225:117

step 1

Write the given ratios in fraction form

25:y =

25y

225:117 =

225117

step 2

Find the Means & Extremes

25 x 117 = 225 x y

Extremes = 25, 117

Means = 225, y

25y

=

225117

Extremes = 25, 117

Means = 225, y

step 3

Rearrange the statement to find y

y = 13

y =

25 x 117225

step 4

The missing term in the proportion is 13

Therefore the proportion is 25: 13 = 225:117

Therefore the proportion is 25: 13 = 225:117

7

Find the value of x in the proportion

3:22 = 24:176

step 1

Write the given ratios in fraction form

y:22 =

y22

24:176 =

24176

step 2

Find the Means & Extremes

x 176 = 24 x 22

Extremes = 176, y

Means = 24, 22

y22

=

24176

Extremes = 176, y

Means = 24, 22

step 3

Rearrange the statement to find y

y = 3

y =

24 x 22176

step 4

The missing term in the proportion is 3

Therefore the proportion is 3:22 = 24:176

Therefore the proportion is 3:22 = 24:176

8

Find the value of x in the proportion

7:24 = 14:48

step 1

Write the given ratios in fraction form

y:24 =

y24

14:48 =

1448

step 2

Find the Means & Extremes

x 48 = 14 x 24

Extremes = 48, y

Means = 14, 24

y24

=

1448

Extremes = 48, y

Means = 14, 24

step 3

Rearrange the statement to find y

y = 7

y =

14 x 2448

step 4

The missing term in the proportion is 7

Therefore the proportion is 7:24 = 14:48

Therefore the proportion is 7:24 = 14:48

9

Find the value of x in the proportion

16:5 = 48:15

step 1

Write the given ratios in fraction form

16:5 =

165

y:5 =

y15

step 2

Find the Means & Extremes

16 x 15 = y x 5

Extremes = 16, 15

Means = 5, y

165

=

y15

Extremes = 16, 15

Means = 5, y

step 3

Rearrange the statement to find y

y = 48

y =

16 x 155

step 4

The missing term in the proportion is 48

Therefore the proportion is 16:5 = 48:15

Therefore the proportion is 16:5 = 48:15

10

Find the value of x in the proportion

2:7 = 18:63

step 1

Write the given ratios in fraction form

2:7 =

27

18:y =

18y

step 2

Find the Means & Extremes

2 x y = 18 x 7

Extremes = 2, y

Means = 18, 7

27

=

18y

Extremes = 2, y

Means = 18, 7

step 3

Rearrange the statement to find y

y = 63

y =

18 x 72

step 4

The missing term in the proportion is 63

Therefore the proportion is 2:7 = 18:63

Therefore the proportion is 2:7 = 18:63

Find the missing number in a proportion worksheet with answers for 6th grade math curriculum is available online for free in printable and downloadable (pdf & image) format. Tap on PRINT, PDF or IMAGE button to print or download this grade-6 ratio & proportion worksheet to practice how to find the missing values (mean or extreme) in the given proportions.

In this sixth grade ratio & proportion worksheet, students are required to find the missing value of two ratios in proportion. Apply the law of proportion to find the missing number. The law of proportion states that the product of means is always equal to the product of extremes if two ratios are in equivalent, direct variation or proportion.
If the ratio A is to B and C is to D is proportional

A : B = C : D

A : B :: C : D

A/B = C/D

A x D = C x B

The product of MEANS = The product of EXTREMES

Find the Missing Term in the Proportion | |||
---|---|---|---|

To find A | To find B | To find C | To find D |

A = C x B/D | B = A x D/C | C = A x D/B | D = C x B/A |

Teachers, tutors, parents or students can check or validate the solved questions by using the corresponding answers key which comprises the step by step work on how to find the missing value in a proportion.

Students, teachers, tutors or parents can generate unlimited set of questions and answers by using this "**NEW WORKSHEET**" button to prepare exam, assignments, classwork or homework problems, or step by step calculation on how to find the missing number of two ratios in proportion.

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