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Finding the Fourth Proportional to 8,414.11, 12,623.02 and 2,571.17

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Solution

The fourth proportional to 8,414.11, 12,623.02 and 2,571.17 is: 3,857.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.11 : 12,623.02 = 2,571.17 : x
  2. Step 2: Convert to fraction form
    8,414.11/12,623.02 = 2,571.17/x
  3. Step 3: Cross multiply
    8,414.11x = 12,623.02 × 2,571.17
  4. Step 4: Simplify right side
    8,414.11x = 32,455,955.46
  5. Step 5: Solve for x
    x = 32,455,955.46/8,414.11
  6. Step 6: Final answer
    x = 3,857.33

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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.