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Finding the Fourth Proportional to 6,809.00, 10,214.13 and 2,649.32

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Solution

The fourth proportional to 6,809.00, 10,214.13 and 2,649.32 is: 3,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.00 : 10,214.13 = 2,649.32 : x
  2. Step 2: Convert to fraction form
    6,809.00/10,214.13 = 2,649.32/x
  3. Step 3: Cross multiply
    6,809.00x = 10,214.13 × 2,649.32
  4. Step 4: Simplify right side
    6,809.00x = 27,060,524.43
  5. Step 5: Solve for x
    x = 27,060,524.43/6,809.00
  6. Step 6: Final answer
    x = 3,974.23

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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.