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Finding the Fourth Proportional to 6,608.25, 9,912.24 and 1,677.87

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Solution

The fourth proportional to 6,608.25, 9,912.24 and 1,677.87 is: 2,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,608.25 : 9,912.24 = 1,677.87 : x
  2. Step 2: Convert to fraction form
    6,608.25/9,912.24 = 1,677.87/x
  3. Step 3: Cross multiply
    6,608.25x = 9,912.24 × 1,677.87
  4. Step 4: Simplify right side
    6,608.25x = 16,631,450.13
  5. Step 5: Solve for x
    x = 16,631,450.13/6,608.25
  6. Step 6: Final answer
    x = 2,516.77

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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.