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Finding the Fourth Proportional to 12,712.26, 17,542.90 and 7,744.26

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Solution

The fourth proportional to 12,712.26, 17,542.90 and 7,744.26 is: 10,687.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.26 : 17,542.90 = 7,744.26 : x
  2. Step 2: Convert to fraction form
    12,712.26/17,542.90 = 7,744.26/x
  3. Step 3: Cross multiply
    12,712.26x = 17,542.90 × 7,744.26
  4. Step 4: Simplify right side
    12,712.26x = 135,856,778.75
  5. Step 5: Solve for x
    x = 135,856,778.75/12,712.26
  6. Step 6: Final answer
    x = 10,687.07

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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.