Question

solve for k.
\\(\frac{4}{k} = \frac{6}{11}\\)
\\(k = \square\\)

Explanation:

Step1: Cross - multiply the proportion

Given the proportion $\frac{4}{k}=\frac{6}{11}$, cross - multiplying (which is based on the property of proportions: if $\frac{a}{b}=\frac{c}{d}$, then $a\times d = b\times c$) gives us $4\times11=6\times k$.
So, $44 = 6k$.

Step2: Solve for k

To solve for $k$, we divide both sides of the equation $44 = 6k$ by 6.
$k=\frac{44}{6}=\frac{22}{3}$ (simplifying the fraction by dividing both the numerator and the denominator by 2).

Answer:

$\frac{22}{3}$