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Finding the Fourth Proportional to 10,098.26, 15,123.87 and 9,747.93

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Solution

The fourth proportional to 10,098.26, 15,123.87 and 9,747.93 is: 14,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.26 : 15,123.87 = 9,747.93 : x
  2. Step 2: Convert to fraction form
    10,098.26/15,123.87 = 9,747.93/x
  3. Step 3: Cross multiply
    10,098.26x = 15,123.87 × 9,747.93
  4. Step 4: Simplify right side
    10,098.26x = 147,426,426.09
  5. Step 5: Solve for x
    x = 147,426,426.09/10,098.26
  6. Step 6: Final answer
    x = 14,599.20

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1.5x scale

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.