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Finding the Fourth Proportional to 6,348.66, 9,525.87 and 3,272.82

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Solution

The fourth proportional to 6,348.66, 9,525.87 and 3,272.82 is: 4,910.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.66 : 9,525.87 = 3,272.82 : x
  2. Step 2: Convert to fraction form
    6,348.66/9,525.87 = 3,272.82/x
  3. Step 3: Cross multiply
    6,348.66x = 9,525.87 × 3,272.82
  4. Step 4: Simplify right side
    6,348.66x = 31,176,457.85
  5. Step 5: Solve for x
    x = 31,176,457.85/6,348.66
  6. Step 6: Final answer
    x = 4,910.71

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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.