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Finding the Fourth Proportional to 9,229.38, 13,824.45 and 8,568.42

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Solution

The fourth proportional to 9,229.38, 13,824.45 and 8,568.42 is: 12,834.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.38 : 13,824.45 = 8,568.42 : x
  2. Step 2: Convert to fraction form
    9,229.38/13,824.45 = 8,568.42/x
  3. Step 3: Cross multiply
    9,229.38x = 13,824.45 × 8,568.42
  4. Step 4: Simplify right side
    9,229.38x = 118,453,693.87
  5. Step 5: Solve for x
    x = 118,453,693.87/9,229.38
  6. Step 6: Final answer
    x = 12,834.42

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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.