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Finding the Fourth Proportional to 8,195.53, 12,292.23 and 2,648.31

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Solution

The fourth proportional to 8,195.53, 12,292.23 and 2,648.31 is: 3,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.53 : 12,292.23 = 2,648.31 : x
  2. Step 2: Convert to fraction form
    8,195.53/12,292.23 = 2,648.31/x
  3. Step 3: Cross multiply
    8,195.53x = 12,292.23 × 2,648.31
  4. Step 4: Simplify right side
    8,195.53x = 32,553,691.66
  5. Step 5: Solve for x
    x = 32,553,691.66/8,195.53
  6. Step 6: Final answer
    x = 3,972.13

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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.