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Finding the Fourth Proportional to 12,381.68, 18,562.79 and 8,474.24

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Solution

The fourth proportional to 12,381.68, 18,562.79 and 8,474.24 is: 12,704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.68 : 18,562.79 = 8,474.24 : x
  2. Step 2: Convert to fraction form
    12,381.68/18,562.79 = 8,474.24/x
  3. Step 3: Cross multiply
    12,381.68x = 18,562.79 × 8,474.24
  4. Step 4: Simplify right side
    12,381.68x = 157,305,537.53
  5. Step 5: Solve for x
    x = 157,305,537.53/12,381.68
  6. Step 6: Final answer
    x = 12,704.70

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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.