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Finding the Fourth Proportional to 7,234.25, 9,965.41 and 6,168.55

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Solution

The fourth proportional to 7,234.25, 9,965.41 and 6,168.55 is: 8,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.25 : 9,965.41 = 6,168.55 : x
  2. Step 2: Convert to fraction form
    7,234.25/9,965.41 = 6,168.55/x
  3. Step 3: Cross multiply
    7,234.25x = 9,965.41 × 6,168.55
  4. Step 4: Simplify right side
    7,234.25x = 61,472,049.19
  5. Step 5: Solve for x
    x = 61,472,049.19/7,234.25
  6. Step 6: Final answer
    x = 8,497.36

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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.