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Finding the Fourth Proportional to 27,734, 41,601 and 9,266

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Solution

The fourth proportional to 27,734, 41,601 and 9,266 is: 13,899

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,734 : 41,601 = 9,266 : x
  2. Step 2: Convert to fraction form
    27,734/41,601 = 9,266/x
  3. Step 3: Cross multiply
    27,734x = 41,601 × 9,266
  4. Step 4: Simplify right side
    27,734x = 385,474,866
  5. Step 5: Solve for x
    x = 385,474,866/27,734
  6. Step 6: Final answer
    x = 13,899

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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.