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Finding the Fourth Proportional to 6,712.71, 9,268.02 and 4,198.38

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Solution

The fourth proportional to 6,712.71, 9,268.02 and 4,198.38 is: 5,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.71 : 9,268.02 = 4,198.38 : x
  2. Step 2: Convert to fraction form
    6,712.71/9,268.02 = 4,198.38/x
  3. Step 3: Cross multiply
    6,712.71x = 9,268.02 × 4,198.38
  4. Step 4: Simplify right side
    6,712.71x = 38,910,669.81
  5. Step 5: Solve for x
    x = 38,910,669.81/6,712.71
  6. Step 6: Final answer
    x = 5,796.57

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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.