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Finding the Fourth Proportional to 8,013.84, 12,020.84 and 2,467.12

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Solution

The fourth proportional to 8,013.84, 12,020.84 and 2,467.12 is: 3,700.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013.84 : 12,020.84 = 2,467.12 : x
  2. Step 2: Convert to fraction form
    8,013.84/12,020.84 = 2,467.12/x
  3. Step 3: Cross multiply
    8,013.84x = 12,020.84 × 2,467.12
  4. Step 4: Simplify right side
    8,013.84x = 29,656,854.78
  5. Step 5: Solve for x
    x = 29,656,854.78/8,013.84
  6. Step 6: Final answer
    x = 3,700.70

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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.