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Finding the Fourth Proportional to 22,777.53, 34,170.33 and 6,982.20

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Solution

The fourth proportional to 22,777.53, 34,170.33 and 6,982.20 is: 10,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,777.53 : 34,170.33 = 6,982.20 : x
  2. Step 2: Convert to fraction form
    22,777.53/34,170.33 = 6,982.20/x
  3. Step 3: Cross multiply
    22,777.53x = 34,170.33 × 6,982.20
  4. Step 4: Simplify right side
    22,777.53x = 238,584,078.13
  5. Step 5: Solve for x
    x = 238,584,078.13/22,777.53
  6. Step 6: Final answer
    x = 10,474.54

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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.