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Finding the Fourth Proportional to 8,138.64, 12,207.94 and 2,294.49

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Solution

The fourth proportional to 8,138.64, 12,207.94 and 2,294.49 is: 3,441.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.64 : 12,207.94 = 2,294.49 : x
  2. Step 2: Convert to fraction form
    8,138.64/12,207.94 = 2,294.49/x
  3. Step 3: Cross multiply
    8,138.64x = 12,207.94 × 2,294.49
  4. Step 4: Simplify right side
    8,138.64x = 28,010,996.25
  5. Step 5: Solve for x
    x = 28,010,996.25/8,138.64
  6. Step 6: Final answer
    x = 3,441.73

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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.