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Finding the Fourth Proportional to 8,187.84, 12,272.16 and 5,549.76

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Solution

The fourth proportional to 8,187.84, 12,272.16 and 5,549.76 is: 8,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.84 : 12,272.16 = 5,549.76 : x
  2. Step 2: Convert to fraction form
    8,187.84/12,272.16 = 5,549.76/x
  3. Step 3: Cross multiply
    8,187.84x = 12,272.16 × 5,549.76
  4. Step 4: Simplify right side
    8,187.84x = 68,107,542.68
  5. Step 5: Solve for x
    x = 68,107,542.68/8,187.84
  6. Step 6: Final answer
    x = 8,318.13

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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.