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Finding the Fourth Proportional to 11,902.82, 17,848.11 and 6,982.16

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Solution

The fourth proportional to 11,902.82, 17,848.11 and 6,982.16 is: 10,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.82 : 17,848.11 = 6,982.16 : x
  2. Step 2: Convert to fraction form
    11,902.82/17,848.11 = 6,982.16/x
  3. Step 3: Cross multiply
    11,902.82x = 17,848.11 × 6,982.16
  4. Step 4: Simplify right side
    11,902.82x = 124,618,359.72
  5. Step 5: Solve for x
    x = 124,618,359.72/11,902.82
  6. Step 6: Final answer
    x = 10,469.65

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1.5x scale

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.