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Finding the Fourth Proportional to 11,084, 16,625.98 and 6,463.76

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Solution

The fourth proportional to 11,084, 16,625.98 and 6,463.76 is: 9,695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,084 : 16,625.98 = 6,463.76 : x
  2. Step 2: Convert to fraction form
    11,084/16,625.98 = 6,463.76/x
  3. Step 3: Cross multiply
    11,084x = 16,625.98 × 6,463.76
  4. Step 4: Simplify right side
    11,084x = 107,466,344.48
  5. Step 5: Solve for x
    x = 107,466,344.48/11,084
  6. Step 6: Final answer
    x = 9,695.63

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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.