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Finding the Fourth Proportional to 11,061, 16,591.50 and 3,765

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Solution

The fourth proportional to 11,061, 16,591.50 and 3,765 is: 5,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,061 : 16,591.50 = 3,765 : x
  2. Step 2: Convert to fraction form
    11,061/16,591.50 = 3,765/x
  3. Step 3: Cross multiply
    11,061x = 16,591.50 × 3,765
  4. Step 4: Simplify right side
    11,061x = 62,466,997.50
  5. Step 5: Solve for x
    x = 62,466,997.50/11,061
  6. Step 6: Final answer
    x = 5,647.50

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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.