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Solve for v v in the proportion. v6=2530 \frac{v}{6} = \frac{25}{30} v= v = _____

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Q. Solve for v v in the proportion. v6=2530 \frac{v}{6} = \frac{25}{30} v= v = _____
  1. Set up the proportion: Set up the proportion as given in the problem.\newlineWe have the proportion v6=2530\frac{v}{6} = \frac{25}{30}. To solve for vv, we will cross multiply.
  2. Cross multiply: Cross multiply to find an equation that we can solve for vv.\newlineCross multiplying gives us v×30=25×6v \times 30 = 25 \times 6.
  3. Perform the multiplication: Perform the multiplication on the right side of the equation.\newlineMultiplying 2525 by 66 gives us 150150, so the equation now is v×30=150v \times 30 = 150.
  4. Solve for v: Solve for v by dividing both sides of the equation by 3030.\newlineDividing both sides by 3030 gives us v=15030v = \frac{150}{30}.
  5. Simplify the fraction: Simplify the fraction on the right side of the equation to find the value of vv.\newlineSimplifying 15030\frac{150}{30} gives us v=5v = 5.

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