Solve for k. {:[(4)/(3)=(11 )/(k)],[k=]:}

Set up proportion equation: Set up the proportion as an equation. We have the proportion 4/3 = 11/k. To solve for k, we need to find the value of k that makes this equation true.Cross-multiply for k: Cross-multiply to solve for k. Cross-multiplication gives us 4 * k = 3 * 11.Perform multiplication: Perform the multiplication on the right side of the equation. This gives us 4k = 33.Divide by 4 for k: Divide both sides of the equation by 4 to solve for k. This gives us k = 33 / 4.Calculate final value: Calculate the value of k. k = 33 / 4 = 8.25.

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Solve for
k.

{:[(4)/(3)=(11 )/(k)],[k=]:}

Solve for $k$ . $\newline$ $\begin{array}{l} \frac{4}{3}=\frac{11}{k} \\ k= \end{array}$

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Math Problems

Grade 6

Multiply using the distributive property

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Q. Solve for

k

\newline

\begin{array}{l} \frac{4}{3}=\frac{11}{k} \\ k= \end{array}

Set up proportion equation: Set up the proportion as an equation. $\newline$ We have the proportion $\frac{4}{3} = \frac{11}{k}$ . To solve for $k$ , we need to find the value of $k$ that makes this equation true.
Cross-multiply for $k$ : Cross-multiply to solve for $k$ . Cross-multiplication gives us $4 \times k = 3 \times 11$ .
Perform multiplication: Perform the multiplication on the right side of the equation. $\newline$ This gives us $4k = 33$ .
Divide by $4$ for $k$ : Divide both sides of the equation by $4$ to solve for $k$ . This gives us $k = \frac{33}{4}$ .
Calculate final value: Calculate the value of $k$ . $k = \frac{33}{4} = 8.25$ .