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Finding the Fourth Proportional to 6,447.19, 9,671.37 and 2,004.88

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Solution

The fourth proportional to 6,447.19, 9,671.37 and 2,004.88 is: 3,007.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.19 : 9,671.37 = 2,004.88 : x
  2. Step 2: Convert to fraction form
    6,447.19/9,671.37 = 2,004.88/x
  3. Step 3: Cross multiply
    6,447.19x = 9,671.37 × 2,004.88
  4. Step 4: Simplify right side
    6,447.19x = 19,389,912.11
  5. Step 5: Solve for x
    x = 19,389,912.11/6,447.19
  6. Step 6: Final answer
    x = 3,007.50

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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.