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Finding the Fourth Proportional to 10,098.88, 15,092.03 and 9,537.28

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Solution

The fourth proportional to 10,098.88, 15,092.03 and 9,537.28 is: 14,252.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.88 : 15,092.03 = 9,537.28 : x
  2. Step 2: Convert to fraction form
    10,098.88/15,092.03 = 9,537.28/x
  3. Step 3: Cross multiply
    10,098.88x = 15,092.03 × 9,537.28
  4. Step 4: Simplify right side
    10,098.88x = 143,936,915.88
  5. Step 5: Solve for x
    x = 143,936,915.88/10,098.88
  6. Step 6: Final answer
    x = 14,252.76

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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.