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Finding the Fourth Proportional to 6,673.59, 10,006.97 and 3,900.87

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Solution

The fourth proportional to 6,673.59, 10,006.97 and 3,900.87 is: 5,849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,673.59 : 10,006.97 = 3,900.87 : x
  2. Step 2: Convert to fraction form
    6,673.59/10,006.97 = 3,900.87/x
  3. Step 3: Cross multiply
    6,673.59x = 10,006.97 × 3,900.87
  4. Step 4: Simplify right side
    6,673.59x = 39,035,869.56
  5. Step 5: Solve for x
    x = 39,035,869.56/6,673.59
  6. Step 6: Final answer
    x = 5,849.31

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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.