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Finding the Fourth Proportional to 6,474.60, 9,694.08 and 4,909.98

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Solution

The fourth proportional to 6,474.60, 9,694.08 and 4,909.98 is: 7,351.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.60 : 9,694.08 = 4,909.98 : x
  2. Step 2: Convert to fraction form
    6,474.60/9,694.08 = 4,909.98/x
  3. Step 3: Cross multiply
    6,474.60x = 9,694.08 × 4,909.98
  4. Step 4: Simplify right side
    6,474.60x = 47,597,738.92
  5. Step 5: Solve for x
    x = 47,597,738.92/6,474.60
  6. Step 6: Final answer
    x = 7,351.46

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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.