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Finding the Fourth Proportional to 6,236.28, 9,308.79 and 5,498.19

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Solution

The fourth proportional to 6,236.28, 9,308.79 and 5,498.19 is: 8,207.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.28 : 9,308.79 = 5,498.19 : x
  2. Step 2: Convert to fraction form
    6,236.28/9,308.79 = 5,498.19/x
  3. Step 3: Cross multiply
    6,236.28x = 9,308.79 × 5,498.19
  4. Step 4: Simplify right side
    6,236.28x = 51,181,496.09
  5. Step 5: Solve for x
    x = 51,181,496.09/6,236.28
  6. Step 6: Final answer
    x = 8,207.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.