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Finding the Fourth Proportional to 6,649.65, 9,974.55 and 3,362.87

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Solution

The fourth proportional to 6,649.65, 9,974.55 and 3,362.87 is: 5,044.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.65 : 9,974.55 = 3,362.87 : x
  2. Step 2: Convert to fraction form
    6,649.65/9,974.55 = 3,362.87/x
  3. Step 3: Cross multiply
    6,649.65x = 9,974.55 × 3,362.87
  4. Step 4: Simplify right side
    6,649.65x = 33,543,065.09
  5. Step 5: Solve for x
    x = 33,543,065.09/6,649.65
  6. Step 6: Final answer
    x = 5,044.34

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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.