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Finding the Fourth Proportional to 6,808.97, 10,214.08 and 2,649.29

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Solution

The fourth proportional to 6,808.97, 10,214.08 and 2,649.29 is: 3,974.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.97 : 10,214.08 = 2,649.29 : x
  2. Step 2: Convert to fraction form
    6,808.97/10,214.08 = 2,649.29/x
  3. Step 3: Cross multiply
    6,808.97x = 10,214.08 × 2,649.29
  4. Step 4: Simplify right side
    6,808.97x = 27,060,002.31
  5. Step 5: Solve for x
    x = 27,060,002.31/6,808.97
  6. Step 6: Final answer
    x = 3,974.17

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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.