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Finding the Fourth Proportional to 7,694.64, 10,611.96 and 6,202

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Solution

The fourth proportional to 7,694.64, 10,611.96 and 6,202 is: 8,553.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.64 : 10,611.96 = 6,202 : x
  2. Step 2: Convert to fraction form
    7,694.64/10,611.96 = 6,202/x
  3. Step 3: Cross multiply
    7,694.64x = 10,611.96 × 6,202
  4. Step 4: Simplify right side
    7,694.64x = 65,815,375.92
  5. Step 5: Solve for x
    x = 65,815,375.92/7,694.64
  6. Step 6: Final answer
    x = 8,553.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.