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Finding the Fourth Proportional to 12,546.52, 17,314.20 and 6,957.52

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Solution

The fourth proportional to 12,546.52, 17,314.20 and 6,957.52 is: 9,601.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.52 : 17,314.20 = 6,957.52 : x
  2. Step 2: Convert to fraction form
    12,546.52/17,314.20 = 6,957.52/x
  3. Step 3: Cross multiply
    12,546.52x = 17,314.20 × 6,957.52
  4. Step 4: Simplify right side
    12,546.52x = 120,463,892.78
  5. Step 5: Solve for x
    x = 120,463,892.78/12,546.52
  6. Step 6: Final answer
    x = 9,601.38

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Similar ratio
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1.5x scale

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.