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Finding the Fourth Proportional to 9,232.52, 13,781.65 and 8,125.48

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Solution

The fourth proportional to 9,232.52, 13,781.65 and 8,125.48 is: 12,129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.52 : 13,781.65 = 8,125.48 : x
  2. Step 2: Convert to fraction form
    9,232.52/13,781.65 = 8,125.48/x
  3. Step 3: Cross multiply
    9,232.52x = 13,781.65 × 8,125.48
  4. Step 4: Simplify right side
    9,232.52x = 111,982,521.44
  5. Step 5: Solve for x
    x = 111,982,521.44/9,232.52
  6. Step 6: Final answer
    x = 12,129.14

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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.