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Finding the Fourth Proportional to 8,138.59, 12,207.89 and 2,943.25

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Solution

The fourth proportional to 8,138.59, 12,207.89 and 2,943.25 is: 4,414.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.59 : 12,207.89 = 2,943.25 : x
  2. Step 2: Convert to fraction form
    8,138.59/12,207.89 = 2,943.25/x
  3. Step 3: Cross multiply
    8,138.59x = 12,207.89 × 2,943.25
  4. Step 4: Simplify right side
    8,138.59x = 35,930,827.01
  5. Step 5: Solve for x
    x = 35,930,827.01/8,138.59
  6. Step 6: Final answer
    x = 4,414.87

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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.