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Finding the Fourth Proportional to 6,672.25, 10,008.14 and 3,163.94

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Solution

The fourth proportional to 6,672.25, 10,008.14 and 3,163.94 is: 4,745.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,672.25 : 10,008.14 = 3,163.94 : x
  2. Step 2: Convert to fraction form
    6,672.25/10,008.14 = 3,163.94/x
  3. Step 3: Cross multiply
    6,672.25x = 10,008.14 × 3,163.94
  4. Step 4: Simplify right side
    6,672.25x = 31,665,112.34
  5. Step 5: Solve for x
    x = 31,665,112.34/6,672.25
  6. Step 6: Final answer
    x = 4,745.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.