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Finding the Fourth Proportional to 6,474.54, 9,713.86 and 2,314.46

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Solution

The fourth proportional to 6,474.54, 9,713.86 and 2,314.46 is: 3,472.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.54 : 9,713.86 = 2,314.46 : x
  2. Step 2: Convert to fraction form
    6,474.54/9,713.86 = 2,314.46/x
  3. Step 3: Cross multiply
    6,474.54x = 9,713.86 × 2,314.46
  4. Step 4: Simplify right side
    6,474.54x = 22,482,286.06
  5. Step 5: Solve for x
    x = 22,482,286.06/6,474.54
  6. Step 6: Final answer
    x = 3,472.41

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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.