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k6=43\dfrac{k}{6} = \dfrac{4}{3}

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Full solution

Q. k6=43\dfrac{k}{6} = \dfrac{4}{3}
  1. Identify method: Identify the cross-multiplication method to solve the proportion.\newlineTo find the value of k, we can cross-multiply the terms in the proportion k6=43\dfrac{k}{6} = \dfrac{4}{3}.
  2. Cross-multiply terms: Cross-multiply the terms.\newlinek×3=4×6k \times 3 = 4 \times 6
  3. Perform multiplication: Perform the multiplication.\newline3k=243k = 24
  4. Divide sides: Divide both sides of the equation by 33 to solve for k.\newline3k3=243\dfrac{3k}{3} = \dfrac{24}{3}
  5. Simplify equation: Simplify both sides of the equation.\newlinek=8k = 8

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