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Finding the Fourth Proportional to 10,592.88, 15,813.17 and 9,823.92

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Solution

The fourth proportional to 10,592.88, 15,813.17 and 9,823.92 is: 14,665.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.88 : 15,813.17 = 9,823.92 : x
  2. Step 2: Convert to fraction form
    10,592.88/15,813.17 = 9,823.92/x
  3. Step 3: Cross multiply
    10,592.88x = 15,813.17 × 9,823.92
  4. Step 4: Simplify right side
    10,592.88x = 155,347,267.91
  5. Step 5: Solve for x
    x = 155,347,267.91/10,592.88
  6. Step 6: Final answer
    x = 14,665.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.