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Finding the Fourth Proportional to 8,410.97, 12,616.49 and 2,567.57

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Solution

The fourth proportional to 8,410.97, 12,616.49 and 2,567.57 is: 3,851.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.97 : 12,616.49 = 2,567.57 : x
  2. Step 2: Convert to fraction form
    8,410.97/12,616.49 = 2,567.57/x
  3. Step 3: Cross multiply
    8,410.97x = 12,616.49 × 2,567.57
  4. Step 4: Simplify right side
    8,410.97x = 32,393,664.57
  5. Step 5: Solve for x
    x = 32,393,664.57/8,410.97
  6. Step 6: Final answer
    x = 3,851.36

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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.