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Finding the Fourth Proportional to 8,312.61, 12,470.97 and 2,469.21

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Solution

The fourth proportional to 8,312.61, 12,470.97 and 2,469.21 is: 3,704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.61 : 12,470.97 = 2,469.21 : x
  2. Step 2: Convert to fraction form
    8,312.61/12,470.97 = 2,469.21/x
  3. Step 3: Cross multiply
    8,312.61x = 12,470.97 × 2,469.21
  4. Step 4: Simplify right side
    8,312.61x = 30,793,443.83
  5. Step 5: Solve for x
    x = 30,793,443.83/8,312.61
  6. Step 6: Final answer
    x = 3,704.43

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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.