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Finding the Fourth Proportional to 9,166, 13,749 and 3,694

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Solution

The fourth proportional to 9,166, 13,749 and 3,694 is: 5,541

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166 : 13,749 = 3,694 : x
  2. Step 2: Convert to fraction form
    9,166/13,749 = 3,694/x
  3. Step 3: Cross multiply
    9,166x = 13,749 × 3,694
  4. Step 4: Simplify right side
    9,166x = 50,788,806
  5. Step 5: Solve for x
    x = 50,788,806/9,166
  6. Step 6: Final answer
    x = 5,541

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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.