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Finding the Fourth Proportional to 10,153.92, 14,008.80 and 5,737.92

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Solution

The fourth proportional to 10,153.92, 14,008.80 and 5,737.92 is: 7,916.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.92 : 14,008.80 = 5,737.92 : x
  2. Step 2: Convert to fraction form
    10,153.92/14,008.80 = 5,737.92/x
  3. Step 3: Cross multiply
    10,153.92x = 14,008.80 × 5,737.92
  4. Step 4: Simplify right side
    10,153.92x = 80,381,373.70
  5. Step 5: Solve for x
    x = 80,381,373.70/10,153.92
  6. Step 6: Final answer
    x = 7,916.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.