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Finding the Fourth Proportional to 6,797.36, 10,195.68 and 2,180

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Solution

The fourth proportional to 6,797.36, 10,195.68 and 2,180 is: 3,269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797.36 : 10,195.68 = 2,180 : x
  2. Step 2: Convert to fraction form
    6,797.36/10,195.68 = 2,180/x
  3. Step 3: Cross multiply
    6,797.36x = 10,195.68 × 2,180
  4. Step 4: Simplify right side
    6,797.36x = 22,226,582.40
  5. Step 5: Solve for x
    x = 22,226,582.40/6,797.36
  6. Step 6: Final answer
    x = 3,269.88

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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.