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Finding the Fourth Proportional to 6,797.96, 10,198.49 and 2,415.41

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Solution

The fourth proportional to 6,797.96, 10,198.49 and 2,415.41 is: 3,623.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797.96 : 10,198.49 = 2,415.41 : x
  2. Step 2: Convert to fraction form
    6,797.96/10,198.49 = 2,415.41/x
  3. Step 3: Cross multiply
    6,797.96x = 10,198.49 × 2,415.41
  4. Step 4: Simplify right side
    6,797.96x = 24,633,471.66
  5. Step 5: Solve for x
    x = 24,633,471.66/6,797.96
  6. Step 6: Final answer
    x = 3,623.66

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Why These Related Problems?

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