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Finding the Fourth Proportional to 6,764, 10,146 and 2,380.96

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Solution

The fourth proportional to 6,764, 10,146 and 2,380.96 is: 3,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764 : 10,146 = 2,380.96 : x
  2. Step 2: Convert to fraction form
    6,764/10,146 = 2,380.96/x
  3. Step 3: Cross multiply
    6,764x = 10,146 × 2,380.96
  4. Step 4: Simplify right side
    6,764x = 24,157,169.43
  5. Step 5: Solve for x
    x = 24,157,169.43/6,764
  6. Step 6: Final answer
    x = 3,571.43

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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.