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Finding the Fourth Proportional to 8,411.20, 12,616.80 and 2,567.80

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Solution

The fourth proportional to 8,411.20, 12,616.80 and 2,567.80 is: 3,851.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.20 : 12,616.80 = 2,567.80 : x
  2. Step 2: Convert to fraction form
    8,411.20/12,616.80 = 2,567.80/x
  3. Step 3: Cross multiply
    8,411.20x = 12,616.80 × 2,567.80
  4. Step 4: Simplify right side
    8,411.20x = 32,397,419.04
  5. Step 5: Solve for x
    x = 32,397,419.04/8,411.20
  6. Step 6: Final answer
    x = 3,851.70

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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.