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Finding the Fourth Proportional to 9,229.67, 12,736.19 and 5,196.87

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Solution

The fourth proportional to 9,229.67, 12,736.19 and 5,196.87 is: 7,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.67 : 12,736.19 = 5,196.87 : x
  2. Step 2: Convert to fraction form
    9,229.67/12,736.19 = 5,196.87/x
  3. Step 3: Cross multiply
    9,229.67x = 12,736.19 × 5,196.87
  4. Step 4: Simplify right side
    9,229.67x = 66,188,310.49
  5. Step 5: Solve for x
    x = 66,188,310.49/9,229.67
  6. Step 6: Final answer
    x = 7,171.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.