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Finding the Fourth Proportional to 8,489.54, 12,734.89 and 2,249.48

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Solution

The fourth proportional to 8,489.54, 12,734.89 and 2,249.48 is: 3,374.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.54 : 12,734.89 = 2,249.48 : x
  2. Step 2: Convert to fraction form
    8,489.54/12,734.89 = 2,249.48/x
  3. Step 3: Cross multiply
    8,489.54x = 12,734.89 × 2,249.48
  4. Step 4: Simplify right side
    8,489.54x = 28,646,906.57
  5. Step 5: Solve for x
    x = 28,646,906.57/8,489.54
  6. Step 6: Final answer
    x = 3,374.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.