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Finding the Fourth Proportional to 11,910.80, 17,860.44 and 6,982.04

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Solution

The fourth proportional to 11,910.80, 17,860.44 and 6,982.04 is: 10,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,910.80 : 17,860.44 = 6,982.04 : x
  2. Step 2: Convert to fraction form
    11,910.80/17,860.44 = 6,982.04/x
  3. Step 3: Cross multiply
    11,910.80x = 17,860.44 × 6,982.04
  4. Step 4: Simplify right side
    11,910.80x = 124,702,306.50
  5. Step 5: Solve for x
    x = 124,702,306.50/11,910.80
  6. Step 6: Final answer
    x = 10,469.68

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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.