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Finding the Fourth Proportional to 8,253.54, 12,380.37 and 2,414.22

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Solution

The fourth proportional to 8,253.54, 12,380.37 and 2,414.22 is: 3,621.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.54 : 12,380.37 = 2,414.22 : x
  2. Step 2: Convert to fraction form
    8,253.54/12,380.37 = 2,414.22/x
  3. Step 3: Cross multiply
    8,253.54x = 12,380.37 × 2,414.22
  4. Step 4: Simplify right side
    8,253.54x = 29,888,936.86
  5. Step 5: Solve for x
    x = 29,888,936.86/8,253.54
  6. Step 6: Final answer
    x = 3,621.35

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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.