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Finding the Fourth Proportional to 6,455.70, 9,659.11 and 3,824.62

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Solution

The fourth proportional to 6,455.70, 9,659.11 and 3,824.62 is: 5,722.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.70 : 9,659.11 = 3,824.62 : x
  2. Step 2: Convert to fraction form
    6,455.70/9,659.11 = 3,824.62/x
  3. Step 3: Cross multiply
    6,455.70x = 9,659.11 × 3,824.62
  4. Step 4: Simplify right side
    6,455.70x = 36,942,376.99
  5. Step 5: Solve for x
    x = 36,942,376.99/6,455.70
  6. Step 6: Final answer
    x = 5,722.44

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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.