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Finding the Fourth Proportional to 6,248.43, 9,372.63 and 2,549.79

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Solution

The fourth proportional to 6,248.43, 9,372.63 and 2,549.79 is: 3,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,248.43 : 9,372.63 = 2,549.79 : x
  2. Step 2: Convert to fraction form
    6,248.43/9,372.63 = 2,549.79/x
  3. Step 3: Cross multiply
    6,248.43x = 9,372.63 × 2,549.79
  4. Step 4: Simplify right side
    6,248.43x = 23,898,238.25
  5. Step 5: Solve for x
    x = 23,898,238.25/6,248.43
  6. Step 6: Final answer
    x = 3,824.68

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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.