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Finding the Fourth Proportional to 6,465.25, 9,698.79 and 2,081.69

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Solution

The fourth proportional to 6,465.25, 9,698.79 and 2,081.69 is: 3,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.25 : 9,698.79 = 2,081.69 : x
  2. Step 2: Convert to fraction form
    6,465.25/9,698.79 = 2,081.69/x
  3. Step 3: Cross multiply
    6,465.25x = 9,698.79 × 2,081.69
  4. Step 4: Simplify right side
    6,465.25x = 20,189,815.25
  5. Step 5: Solve for x
    x = 20,189,815.25/6,465.25
  6. Step 6: Final answer
    x = 3,122.82

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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.