Question

question 26 of 42
what is the value of x in the proportion below?
\\(\frac{7.4}{20} = \frac{x}{73}\\)

a. 21
b. 60.4
c. 27.01
d. 14

Explanation:

Step1: Cross - multiply the proportion

To solve the proportion \(\frac{7.4}{20}=\frac{x}{73}\), we use the cross - multiplication property of proportions. If \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\). So, we have \(7.4\times73=20\times x\).

Step2: Calculate the left - hand side

First, calculate \(7.4\times73\). \(7.4\times73=(7 + 0.4)\times73=7\times73+0.4\times73=511+29.2 = 540.2\). So the equation becomes \(540.2 = 20x\).

Step3: Solve for x

To find the value of \(x\), we divide both sides of the equation \(540.2 = 20x\) by 20. \(x=\frac{540.2}{20}=27.01\).

Answer:

C. 27.01