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Finding the Fourth Proportional to 6,684.88, 10,027.80 and 2,004.78

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Solution

The fourth proportional to 6,684.88, 10,027.80 and 2,004.78 is: 3,007.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.88 : 10,027.80 = 2,004.78 : x
  2. Step 2: Convert to fraction form
    6,684.88/10,027.80 = 2,004.78/x
  3. Step 3: Cross multiply
    6,684.88x = 10,027.80 × 2,004.78
  4. Step 4: Simplify right side
    6,684.88x = 20,103,532.88
  5. Step 5: Solve for x
    x = 20,103,532.88/6,684.88
  6. Step 6: Final answer
    x = 3,007.31

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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.