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Finding the Fourth Proportional to 6,625.38, 9,938.06 and 1,695.03

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Solution

The fourth proportional to 6,625.38, 9,938.06 and 1,695.03 is: 2,542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625.38 : 9,938.06 = 1,695.03 : x
  2. Step 2: Convert to fraction form
    6,625.38/9,938.06 = 1,695.03/x
  3. Step 3: Cross multiply
    6,625.38x = 9,938.06 × 1,695.03
  4. Step 4: Simplify right side
    6,625.38x = 16,845,309.84
  5. Step 5: Solve for x
    x = 16,845,309.84/6,625.38
  6. Step 6: Final answer
    x = 2,542.54

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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.