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Finding the Fourth Proportional to 15,714.87, 23,572.24 and 6,354.78

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Solution

The fourth proportional to 15,714.87, 23,572.24 and 6,354.78 is: 9,532.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.87 : 23,572.24 = 6,354.78 : x
  2. Step 2: Convert to fraction form
    15,714.87/23,572.24 = 6,354.78/x
  3. Step 3: Cross multiply
    15,714.87x = 23,572.24 × 6,354.78
  4. Step 4: Simplify right side
    15,714.87x = 149,796,399.31
  5. Step 5: Solve for x
    x = 149,796,399.31/15,714.87
  6. Step 6: Final answer
    x = 9,532.14

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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.