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Finding the Fourth Proportional to 6,709.68, 10,066.80 and 2,092.80

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Solution

The fourth proportional to 6,709.68, 10,066.80 and 2,092.80 is: 3,139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.68 : 10,066.80 = 2,092.80 : x
  2. Step 2: Convert to fraction form
    6,709.68/10,066.80 = 2,092.80/x
  3. Step 3: Cross multiply
    6,709.68x = 10,066.80 × 2,092.80
  4. Step 4: Simplify right side
    6,709.68x = 21,067,799.04
  5. Step 5: Solve for x
    x = 21,067,799.04/6,709.68
  6. Step 6: Final answer
    x = 3,139.91

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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.