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Finding the Fourth Proportional to 7,433.50, 10,257.92 and 4,451

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Solution

The fourth proportional to 7,433.50, 10,257.92 and 4,451 is: 6,142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,433.50 : 10,257.92 = 4,451 : x
  2. Step 2: Convert to fraction form
    7,433.50/10,257.92 = 4,451/x
  3. Step 3: Cross multiply
    7,433.50x = 10,257.92 × 4,451
  4. Step 4: Simplify right side
    7,433.50x = 45,658,001.92
  5. Step 5: Solve for x
    x = 45,658,001.92/7,433.50
  6. Step 6: Final answer
    x = 6,142.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.