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Finding the Fourth Proportional to 6,758.46, 10,137.69 and 3,471.93

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Solution

The fourth proportional to 6,758.46, 10,137.69 and 3,471.93 is: 5,207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.46 : 10,137.69 = 3,471.93 : x
  2. Step 2: Convert to fraction form
    6,758.46/10,137.69 = 3,471.93/x
  3. Step 3: Cross multiply
    6,758.46x = 10,137.69 × 3,471.93
  4. Step 4: Simplify right side
    6,758.46x = 35,197,350.04
  5. Step 5: Solve for x
    x = 35,197,350.04/6,758.46
  6. Step 6: Final answer
    x = 5,207.90

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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.