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Finding the Fourth Proportional to 11,267, 16,902.74 and 3,475.48

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Solution

The fourth proportional to 11,267, 16,902.74 and 3,475.48 is: 5,213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,267 : 16,902.74 = 3,475.48 : x
  2. Step 2: Convert to fraction form
    11,267/16,902.74 = 3,475.48/x
  3. Step 3: Cross multiply
    11,267x = 16,902.74 × 3,475.48
  4. Step 4: Simplify right side
    11,267x = 58,745,134.82
  5. Step 5: Solve for x
    x = 58,745,134.82/11,267
  6. Step 6: Final answer
    x = 5,213.91

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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.