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Solve for ww in the proportion.\newline69=4w\frac{6}{9} = \frac{4}{w}\newlinew=w = _____

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Full solution

Q. Solve for ww in the proportion.\newline69=4w\frac{6}{9} = \frac{4}{w}\newlinew=w = _____
  1. Cross Multiply: We have the proportion 69=4w\frac{6}{9} = \frac{4}{w}. Cross multiply to eliminate the fractions. This gives us 6w=4×96w = 4 \times 9.
  2. Simplify Equation: Simplify the right side of the equation. 4×94\times9 equals 3636, so the equation now reads 6w=366w = 36.
  3. Solve for w: Solve for w by dividing both sides of the equation by 66. w=366w = \frac{36}{6}.
  4. Calculate Division: Calculate the division. 36/636 / 6 equals 66. So, w=6w = 6.

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