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Finding the Fourth Proportional to 11,197.25, 15,452.22 and 6,229.25

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Solution

The fourth proportional to 11,197.25, 15,452.22 and 6,229.25 is: 8,596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.25 : 15,452.22 = 6,229.25 : x
  2. Step 2: Convert to fraction form
    11,197.25/15,452.22 = 6,229.25/x
  3. Step 3: Cross multiply
    11,197.25x = 15,452.22 × 6,229.25
  4. Step 4: Simplify right side
    11,197.25x = 96,255,741.44
  5. Step 5: Solve for x
    x = 96,255,741.44/11,197.25
  6. Step 6: Final answer
    x = 8,596.37

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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.