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Finding the Fourth Proportional to 8,414.88, 12,622.52 and 2,571.52

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Solution

The fourth proportional to 8,414.88, 12,622.52 and 2,571.52 is: 3,857.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.88 : 12,622.52 = 2,571.52 : x
  2. Step 2: Convert to fraction form
    8,414.88/12,622.52 = 2,571.52/x
  3. Step 3: Cross multiply
    8,414.88x = 12,622.52 × 2,571.52
  4. Step 4: Simplify right side
    8,414.88x = 32,459,062.63
  5. Step 5: Solve for x
    x = 32,459,062.63/8,414.88
  6. Step 6: Final answer
    x = 3,857.34

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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.