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Finding the Fourth Proportional to 8,493.78, 12,740.69 and 2,947.13

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Solution

The fourth proportional to 8,493.78, 12,740.69 and 2,947.13 is: 4,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.78 : 12,740.69 = 2,947.13 : x
  2. Step 2: Convert to fraction form
    8,493.78/12,740.69 = 2,947.13/x
  3. Step 3: Cross multiply
    8,493.78x = 12,740.69 × 2,947.13
  4. Step 4: Simplify right side
    8,493.78x = 37,548,469.72
  5. Step 5: Solve for x
    x = 37,548,469.72/8,493.78
  6. Step 6: Final answer
    x = 4,420.70

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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.