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Finding the Fourth Proportional to 13,734, 20,601 and 5,526

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Solution

The fourth proportional to 13,734, 20,601 and 5,526 is: 8,289

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734 : 20,601 = 5,526 : x
  2. Step 2: Convert to fraction form
    13,734/20,601 = 5,526/x
  3. Step 3: Cross multiply
    13,734x = 20,601 × 5,526
  4. Step 4: Simplify right side
    13,734x = 113,841,126
  5. Step 5: Solve for x
    x = 113,841,126/13,734
  6. Step 6: Final answer
    x = 8,289

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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.