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Finding the Fourth Proportional to 6,684.50, 10,046.94 and 5,521.97

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Solution

The fourth proportional to 6,684.50, 10,046.94 and 5,521.97 is: 8,299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.50 : 10,046.94 = 5,521.97 : x
  2. Step 2: Convert to fraction form
    6,684.50/10,046.94 = 5,521.97/x
  3. Step 3: Cross multiply
    6,684.50x = 10,046.94 × 5,521.97
  4. Step 4: Simplify right side
    6,684.50x = 55,478,905.68
  5. Step 5: Solve for x
    x = 55,478,905.68/6,684.50
  6. Step 6: Final answer
    x = 8,299.63

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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.