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Finding the Fourth Proportional to 10,224.87, 15,337.95 and 2,728.29

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Solution

The fourth proportional to 10,224.87, 15,337.95 and 2,728.29 is: 4,092.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.87 : 15,337.95 = 2,728.29 : x
  2. Step 2: Convert to fraction form
    10,224.87/15,337.95 = 2,728.29/x
  3. Step 3: Cross multiply
    10,224.87x = 15,337.95 × 2,728.29
  4. Step 4: Simplify right side
    10,224.87x = 41,846,375.61
  5. Step 5: Solve for x
    x = 41,846,375.61/10,224.87
  6. Step 6: Final answer
    x = 4,092.61

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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.