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Finding the Fourth Proportional to 6,799.25, 10,198.17 and 2,356.49

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Solution

The fourth proportional to 6,799.25, 10,198.17 and 2,356.49 is: 3,534.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,799.25 : 10,198.17 = 2,356.49 : x
  2. Step 2: Convert to fraction form
    6,799.25/10,198.17 = 2,356.49/x
  3. Step 3: Cross multiply
    6,799.25x = 10,198.17 × 2,356.49
  4. Step 4: Simplify right side
    6,799.25x = 24,031,834.63
  5. Step 5: Solve for x
    x = 24,031,834.63/6,799.25
  6. Step 6: Final answer
    x = 3,534.49

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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.