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Finding the Fourth Proportional to 6,785.88, 10,178.82 and 2,169.24

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Solution

The fourth proportional to 6,785.88, 10,178.82 and 2,169.24 is: 3,253.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.88 : 10,178.82 = 2,169.24 : x
  2. Step 2: Convert to fraction form
    6,785.88/10,178.82 = 2,169.24/x
  3. Step 3: Cross multiply
    6,785.88x = 10,178.82 × 2,169.24
  4. Step 4: Simplify right side
    6,785.88x = 22,080,303.50
  5. Step 5: Solve for x
    x = 22,080,303.50/6,785.88
  6. Step 6: Final answer
    x = 3,253.86

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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.