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Finding the Fourth Proportional to 6,644.86, 9,959.84 and 2,695.20

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Solution

The fourth proportional to 6,644.86, 9,959.84 and 2,695.20 is: 4,039.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.86 : 9,959.84 = 2,695.20 : x
  2. Step 2: Convert to fraction form
    6,644.86/9,959.84 = 2,695.20/x
  3. Step 3: Cross multiply
    6,644.86x = 9,959.84 × 2,695.20
  4. Step 4: Simplify right side
    6,644.86x = 26,843,760.77
  5. Step 5: Solve for x
    x = 26,843,760.77/6,644.86
  6. Step 6: Final answer
    x = 4,039.78

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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.