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Finding the Fourth Proportional to 8,202.33, 12,294.16 and 7,213.21

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Solution

The fourth proportional to 8,202.33, 12,294.16 and 7,213.21 is: 10,811.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.33 : 12,294.16 = 7,213.21 : x
  2. Step 2: Convert to fraction form
    8,202.33/12,294.16 = 7,213.21/x
  3. Step 3: Cross multiply
    8,202.33x = 12,294.16 × 7,213.21
  4. Step 4: Simplify right side
    8,202.33x = 88,680,357.85
  5. Step 5: Solve for x
    x = 88,680,357.85/8,202.33
  6. Step 6: Final answer
    x = 10,811.61

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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.