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Finding the Fourth Proportional to 25,694.56, 38,538.96 and 7,226.08

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Solution

The fourth proportional to 25,694.56, 38,538.96 and 7,226.08 is: 10,838.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,694.56 : 38,538.96 = 7,226.08 : x
  2. Step 2: Convert to fraction form
    25,694.56/38,538.96 = 7,226.08/x
  3. Step 3: Cross multiply
    25,694.56x = 38,538.96 × 7,226.08
  4. Step 4: Simplify right side
    25,694.56x = 278,485,608.08
  5. Step 5: Solve for x
    x = 278,485,608.08/25,694.56
  6. Step 6: Final answer
    x = 10,838.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.