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Finding the Fourth Proportional to 8,286.84, 12,432.22 and 3,671.16

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Solution

The fourth proportional to 8,286.84, 12,432.22 and 3,671.16 is: 5,507.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.84 : 12,432.22 = 3,671.16 : x
  2. Step 2: Convert to fraction form
    8,286.84/12,432.22 = 3,671.16/x
  3. Step 3: Cross multiply
    8,286.84x = 12,432.22 × 3,671.16
  4. Step 4: Simplify right side
    8,286.84x = 45,640,668.78
  5. Step 5: Solve for x
    x = 45,640,668.78/8,286.84
  6. Step 6: Final answer
    x = 5,507.61

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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.