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Finding the Fourth Proportional to 10,472.24, 14,452.38 and 6,496

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Solution

The fourth proportional to 10,472.24, 14,452.38 and 6,496 is: 8,964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.24 : 14,452.38 = 6,496 : x
  2. Step 2: Convert to fraction form
    10,472.24/14,452.38 = 6,496/x
  3. Step 3: Cross multiply
    10,472.24x = 14,452.38 × 6,496
  4. Step 4: Simplify right side
    10,472.24x = 93,882,660.48
  5. Step 5: Solve for x
    x = 93,882,660.48/10,472.24
  6. Step 6: Final answer
    x = 8,964.91

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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.