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Finding the Fourth Proportional to 6,797.07, 10,198.20 and 2,640

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Solution

The fourth proportional to 6,797.07, 10,198.20 and 2,640 is: 3,961.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797.07 : 10,198.20 = 2,640 : x
  2. Step 2: Convert to fraction form
    6,797.07/10,198.20 = 2,640/x
  3. Step 3: Cross multiply
    6,797.07x = 10,198.20 × 2,640
  4. Step 4: Simplify right side
    6,797.07x = 26,923,248.00
  5. Step 5: Solve for x
    x = 26,923,248.00/6,797.07
  6. Step 6: Final answer
    x = 3,961.01

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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.