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Finding the Fourth Proportional to 6,474.56, 9,711.12 and 2,314.40

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Solution

The fourth proportional to 6,474.56, 9,711.12 and 2,314.40 is: 3,471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.56 : 9,711.12 = 2,314.40 : x
  2. Step 2: Convert to fraction form
    6,474.56/9,711.12 = 2,314.40/x
  3. Step 3: Cross multiply
    6,474.56x = 9,711.12 × 2,314.40
  4. Step 4: Simplify right side
    6,474.56x = 22,475,416.13
  5. Step 5: Solve for x
    x = 22,475,416.13/6,474.56
  6. Step 6: Final answer
    x = 3,471.34

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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.