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Finding the Fourth Proportional to 8,249.57, 12,374.78 and 2,406.63

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Solution

The fourth proportional to 8,249.57, 12,374.78 and 2,406.63 is: 3,610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.57 : 12,374.78 = 2,406.63 : x
  2. Step 2: Convert to fraction form
    8,249.57/12,374.78 = 2,406.63/x
  3. Step 3: Cross multiply
    8,249.57x = 12,374.78 × 2,406.63
  4. Step 4: Simplify right side
    8,249.57x = 29,781,504.76
  5. Step 5: Solve for x
    x = 29,781,504.76/8,249.57
  6. Step 6: Final answer
    x = 3,610.07

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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.