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Finding the Fourth Proportional to 11,937.97, 17,882.35 and 6,992.62

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Solution

The fourth proportional to 11,937.97, 17,882.35 and 6,992.62 is: 10,474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.97 : 17,882.35 = 6,992.62 : x
  2. Step 2: Convert to fraction form
    11,937.97/17,882.35 = 6,992.62/x
  3. Step 3: Cross multiply
    11,937.97x = 17,882.35 × 6,992.62
  4. Step 4: Simplify right side
    11,937.97x = 125,044,416.07
  5. Step 5: Solve for x
    x = 125,044,416.07/11,937.97
  6. Step 6: Final answer
    x = 10,474.51

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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.