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Finding the Fourth Proportional to 6,625.31, 9,938.31 and 1,694.98

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Solution

The fourth proportional to 6,625.31, 9,938.31 and 1,694.98 is: 2,542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625.31 : 9,938.31 = 1,694.98 : x
  2. Step 2: Convert to fraction form
    6,625.31/9,938.31 = 1,694.98/x
  3. Step 3: Cross multiply
    6,625.31x = 9,938.31 × 1,694.98
  4. Step 4: Simplify right side
    6,625.31x = 16,845,236.68
  5. Step 5: Solve for x
    x = 16,845,236.68/6,625.31
  6. Step 6: Final answer
    x = 2,542.56

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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.