Question

solve the following proportion for v.
\\(\frac{11}{17} = \frac{10}{v}\\)
round your answer to the nearest tenth.
\\(v = \square\\)

Explanation:

Step1: Cross - multiply the proportion

To solve the proportion \(\frac{11}{17}=\frac{10}{v}\), we use the cross - multiplication property of proportions. If \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\).
Applying this to our proportion, we get \(11\times v=17\times10\).

Step2: Solve for \(v\)

Simplify the right - hand side of the equation: \(11v = 170\).
Then, divide both sides of the equation by 11 to isolate \(v\): \(v=\frac{170}{11}\approx15.5\) (rounded to the nearest tenth).

Answer:

\(15.5\)