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Chapter 4: Q62. (page 181)

BASIC SKILL

Use cross products to solve each proportion.

62. 56=k4

Short Answer

Expert verified

Given proportion is simplified to k=103

Step by step solution

01

- Cross product between two proportions

Let ab and cd be two equal proportions that is ab=cd

Then cross product is defined as multiplication of denominator of one proportion with the numerator of other proportion, that is ad=bc

02

- Substitution

Substitute 5 for a, 6 for b, k for c, and 4 for d into ad=bc gives

5脳4=6脳k

03

- Simplify 5×4=6×k

To simplify this expression multiply both the numbers of left side and then divide it from number on the right as shown below

20=6kk=206k=103

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