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Finding the Fourth Proportional to 8,405.97, 12,608.50 and 2,562.13

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Solution

The fourth proportional to 8,405.97, 12,608.50 and 2,562.13 is: 3,843.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.97 : 12,608.50 = 2,562.13 : x
  2. Step 2: Convert to fraction form
    8,405.97/12,608.50 = 2,562.13/x
  3. Step 3: Cross multiply
    8,405.97x = 12,608.50 × 2,562.13
  4. Step 4: Simplify right side
    8,405.97x = 32,304,553.06
  5. Step 5: Solve for x
    x = 32,304,553.06/8,405.97
  6. Step 6: Final answer
    x = 3,843.05

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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.