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Finding the Fourth Proportional to 12,761, 17,610.38 and 7,018.70

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Solution

The fourth proportional to 12,761, 17,610.38 and 7,018.70 is: 9,685.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761 : 17,610.38 = 7,018.70 : x
  2. Step 2: Convert to fraction form
    12,761/17,610.38 = 7,018.70/x
  3. Step 3: Cross multiply
    12,761x = 17,610.38 × 7,018.70
  4. Step 4: Simplify right side
    12,761x = 123,601,974.11
  5. Step 5: Solve for x
    x = 123,601,974.11/12,761
  6. Step 6: Final answer
    x = 9,685.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.