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Finding the Fourth Proportional to 8,571.44, 12,855.36 and 2,414

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Solution

The fourth proportional to 8,571.44, 12,855.36 and 2,414 is: 3,620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.44 : 12,855.36 = 2,414 : x
  2. Step 2: Convert to fraction form
    8,571.44/12,855.36 = 2,414/x
  3. Step 3: Cross multiply
    8,571.44x = 12,855.36 × 2,414
  4. Step 4: Simplify right side
    8,571.44x = 31,032,839.04
  5. Step 5: Solve for x
    x = 31,032,839.04/8,571.44
  6. Step 6: Final answer
    x = 3,620.49

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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.