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Finding the Fourth Proportional to 6,167, 9,251.74 and 3,157.46

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Solution

The fourth proportional to 6,167, 9,251.74 and 3,157.46 is: 4,736.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167 : 9,251.74 = 3,157.46 : x
  2. Step 2: Convert to fraction form
    6,167/9,251.74 = 3,157.46/x
  3. Step 3: Cross multiply
    6,167x = 9,251.74 × 3,157.46
  4. Step 4: Simplify right side
    6,167x = 29,211,998.98
  5. Step 5: Solve for x
    x = 29,211,998.98/6,167
  6. Step 6: Final answer
    x = 4,736.82

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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.