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Finding the Fourth Proportional to 6,474.88, 9,709.86 and 2,314.12

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Solution

The fourth proportional to 6,474.88, 9,709.86 and 2,314.12 is: 3,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.88 : 9,709.86 = 2,314.12 : x
  2. Step 2: Convert to fraction form
    6,474.88/9,709.86 = 2,314.12/x
  3. Step 3: Cross multiply
    6,474.88x = 9,709.86 × 2,314.12
  4. Step 4: Simplify right side
    6,474.88x = 22,469,781.22
  5. Step 5: Solve for x
    x = 22,469,781.22/6,474.88
  6. Step 6: Final answer
    x = 3,470.30

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1.5x scale

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.