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Finding the Fourth Proportional to 20,229.75, 30,344.63 and 6,378.75

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Solution

The fourth proportional to 20,229.75, 30,344.63 and 6,378.75 is: 9,568.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229.75 : 30,344.63 = 6,378.75 : x
  2. Step 2: Convert to fraction form
    20,229.75/30,344.63 = 6,378.75/x
  3. Step 3: Cross multiply
    20,229.75x = 30,344.63 × 6,378.75
  4. Step 4: Simplify right side
    20,229.75x = 193,560,776.72
  5. Step 5: Solve for x
    x = 193,560,776.72/20,229.75
  6. Step 6: Final answer
    x = 9,568.13

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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.