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Finding the Fourth Proportional to 12,708.74, 17,539 and 7,403.78

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Solution

The fourth proportional to 12,708.74, 17,539 and 7,403.78 is: 10,217.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708.74 : 17,539 = 7,403.78 : x
  2. Step 2: Convert to fraction form
    12,708.74/17,539 = 7,403.78/x
  3. Step 3: Cross multiply
    12,708.74x = 17,539 × 7,403.78
  4. Step 4: Simplify right side
    12,708.74x = 129,854,897.42
  5. Step 5: Solve for x
    x = 129,854,897.42/12,708.74
  6. Step 6: Final answer
    x = 10,217.76

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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.