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Finding the Fourth Proportional to 8,292.48, 12,438.24 and 2,449.92

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Solution

The fourth proportional to 8,292.48, 12,438.24 and 2,449.92 is: 3,674.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.48 : 12,438.24 = 2,449.92 : x
  2. Step 2: Convert to fraction form
    8,292.48/12,438.24 = 2,449.92/x
  3. Step 3: Cross multiply
    8,292.48x = 12,438.24 × 2,449.92
  4. Step 4: Simplify right side
    8,292.48x = 30,472,692.94
  5. Step 5: Solve for x
    x = 30,472,692.94/8,292.48
  6. Step 6: Final answer
    x = 3,674.74

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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.