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Finding the Fourth Proportional to 6,633.17, 9,949.80 and 3,159.89

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Solution

The fourth proportional to 6,633.17, 9,949.80 and 3,159.89 is: 4,739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.17 : 9,949.80 = 3,159.89 : x
  2. Step 2: Convert to fraction form
    6,633.17/9,949.80 = 3,159.89/x
  3. Step 3: Cross multiply
    6,633.17x = 9,949.80 × 3,159.89
  4. Step 4: Simplify right side
    6,633.17x = 31,440,273.52
  5. Step 5: Solve for x
    x = 31,440,273.52/6,633.17
  6. Step 6: Final answer
    x = 4,739.86

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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.