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Finding the Fourth Proportional to 11,197.50, 15,452.64 and 6,229.50

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Solution

The fourth proportional to 11,197.50, 15,452.64 and 6,229.50 is: 8,596.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.50 : 15,452.64 = 6,229.50 : x
  2. Step 2: Convert to fraction form
    11,197.50/15,452.64 = 6,229.50/x
  3. Step 3: Cross multiply
    11,197.50x = 15,452.64 × 6,229.50
  4. Step 4: Simplify right side
    11,197.50x = 96,262,220.88
  5. Step 5: Solve for x
    x = 96,262,220.88/11,197.50
  6. Step 6: Final answer
    x = 8,596.76

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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.