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Finding the Fourth Proportional to 11,938.72, 16,474.16 and 6,902.14

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Solution

The fourth proportional to 11,938.72, 16,474.16 and 6,902.14 is: 9,524.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,938.72 : 16,474.16 = 6,902.14 : x
  2. Step 2: Convert to fraction form
    11,938.72/16,474.16 = 6,902.14/x
  3. Step 3: Cross multiply
    11,938.72x = 16,474.16 × 6,902.14
  4. Step 4: Simplify right side
    11,938.72x = 113,706,958.70
  5. Step 5: Solve for x
    x = 113,706,958.70/11,938.72
  6. Step 6: Final answer
    x = 9,524.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.