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Finding the Fourth Proportional to 6,680.32, 9,218.93 and 4,163.45

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Solution

The fourth proportional to 6,680.32, 9,218.93 and 4,163.45 is: 5,745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.32 : 9,218.93 = 4,163.45 : x
  2. Step 2: Convert to fraction form
    6,680.32/9,218.93 = 4,163.45/x
  3. Step 3: Cross multiply
    6,680.32x = 9,218.93 × 4,163.45
  4. Step 4: Simplify right side
    6,680.32x = 38,382,487.20
  5. Step 5: Solve for x
    x = 38,382,487.20/6,680.32
  6. Step 6: Final answer
    x = 5,745.61

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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.