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Finding the Fourth Proportional to 8,625, 12,944 and 6,914.28

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Solution

The fourth proportional to 8,625, 12,944 and 6,914.28 is: 10,376.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,625 : 12,944 = 6,914.28 : x
  2. Step 2: Convert to fraction form
    8,625/12,944 = 6,914.28/x
  3. Step 3: Cross multiply
    8,625x = 12,944 × 6,914.28
  4. Step 4: Simplify right side
    8,625x = 89,498,440.32
  5. Step 5: Solve for x
    x = 89,498,440.32/8,625
  6. Step 6: Final answer
    x = 10,376.63

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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.