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Finding the Fourth Proportional to 9,154, 13,731 and 3,682

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Solution

The fourth proportional to 9,154, 13,731 and 3,682 is: 5,523

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154 : 13,731 = 3,682 : x
  2. Step 2: Convert to fraction form
    9,154/13,731 = 3,682/x
  3. Step 3: Cross multiply
    9,154x = 13,731 × 3,682
  4. Step 4: Simplify right side
    9,154x = 50,557,542
  5. Step 5: Solve for x
    x = 50,557,542/9,154
  6. Step 6: Final answer
    x = 5,523

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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.