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Finding the Fourth Proportional to 6,804.15, 10,198 and 3,515.46

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Solution

The fourth proportional to 6,804.15, 10,198 and 3,515.46 is: 5,268.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.15 : 10,198 = 3,515.46 : x
  2. Step 2: Convert to fraction form
    6,804.15/10,198 = 3,515.46/x
  3. Step 3: Cross multiply
    6,804.15x = 10,198 × 3,515.46
  4. Step 4: Simplify right side
    6,804.15x = 35,850,661.08
  5. Step 5: Solve for x
    x = 35,850,661.08/6,804.15
  6. Step 6: Final answer
    x = 5,268.94

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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.