Question

solve the following proportion for v.
\\(\frac{7}{11} = \frac{v}{13}\\)
round your answer to the nearest tenth.

Explanation:

Step1: Cross - multiply the proportion

To solve the proportion \(\frac{7}{11}=\frac{v}{13}\), we use the cross - multiplication property of proportions. If \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\). So, \(7\times13=11\times v\).
Calculating the left - hand side: \(7\times13 = 91\), so we have the equation \(91 = 11v\).

Step2: Solve for \(v\)

To isolate \(v\), we divide both sides of the equation \(91 = 11v\) by 11. So, \(v=\frac{91}{11}\).
Calculating \(\frac{91}{11}\approx8.2727\).

Step3: Round to the nearest tenth

Rounding \(8.2727\) to the nearest tenth, we look at the hundredth place. The digit in the hundredth place is 7, which is greater than or equal to 5. So we round up the tenths place.
\(8.2727\approx8.3\)

Answer:

\(8.3\)