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Finding the Fourth Proportional to 12,471.52, 17,214 and 7,753.12

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Solution

The fourth proportional to 12,471.52, 17,214 and 7,753.12 is: 10,701.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.52 : 17,214 = 7,753.12 : x
  2. Step 2: Convert to fraction form
    12,471.52/17,214 = 7,753.12/x
  3. Step 3: Cross multiply
    12,471.52x = 17,214 × 7,753.12
  4. Step 4: Simplify right side
    12,471.52x = 133,462,207.68
  5. Step 5: Solve for x
    x = 133,462,207.68/12,471.52
  6. Step 6: Final answer
    x = 10,701.36

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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.