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Finding the Fourth Proportional to 10,098.88, 15,124.81 and 9,748.56

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Solution

The fourth proportional to 10,098.88, 15,124.81 and 9,748.56 is: 14,600.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.88 : 15,124.81 = 9,748.56 : x
  2. Step 2: Convert to fraction form
    10,098.88/15,124.81 = 9,748.56/x
  3. Step 3: Cross multiply
    10,098.88x = 15,124.81 × 9,748.56
  4. Step 4: Simplify right side
    10,098.88x = 147,444,993.41
  5. Step 5: Solve for x
    x = 147,444,993.41/10,098.88
  6. Step 6: Final answer
    x = 14,600.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.