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Finding the Fourth Proportional to 6,498.26, 9,749.28 and 2,338.18

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Solution

The fourth proportional to 6,498.26, 9,749.28 and 2,338.18 is: 3,507.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.26 : 9,749.28 = 2,338.18 : x
  2. Step 2: Convert to fraction form
    6,498.26/9,749.28 = 2,338.18/x
  3. Step 3: Cross multiply
    6,498.26x = 9,749.28 × 2,338.18
  4. Step 4: Simplify right side
    6,498.26x = 22,795,571.51
  5. Step 5: Solve for x
    x = 22,795,571.51/6,498.26
  6. Step 6: Final answer
    x = 3,507.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.