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Finding the Fourth Proportional to 10,616.31, 14,644.53 and 6,366.24

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Solution

The fourth proportional to 10,616.31, 14,644.53 and 6,366.24 is: 8,781.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.31 : 14,644.53 = 6,366.24 : x
  2. Step 2: Convert to fraction form
    10,616.31/14,644.53 = 6,366.24/x
  3. Step 3: Cross multiply
    10,616.31x = 14,644.53 × 6,366.24
  4. Step 4: Simplify right side
    10,616.31x = 93,230,592.67
  5. Step 5: Solve for x
    x = 93,230,592.67/10,616.31
  6. Step 6: Final answer
    x = 8,781.83

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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.