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Finding the Fourth Proportional to 10,471.92, 15,710.19 and 3,451.65

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Solution

The fourth proportional to 10,471.92, 15,710.19 and 3,451.65 is: 5,178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.92 : 15,710.19 = 3,451.65 : x
  2. Step 2: Convert to fraction form
    10,471.92/15,710.19 = 3,451.65/x
  3. Step 3: Cross multiply
    10,471.92x = 15,710.19 × 3,451.65
  4. Step 4: Simplify right side
    10,471.92x = 54,226,077.31
  5. Step 5: Solve for x
    x = 54,226,077.31/10,471.92
  6. Step 6: Final answer
    x = 5,178.24

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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.