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Finding the Fourth Proportional to 6,120, 9,201.60 and 3,204

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Solution

The fourth proportional to 6,120, 9,201.60 and 3,204 is: 4,817.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120 : 9,201.60 = 3,204 : x
  2. Step 2: Convert to fraction form
    6,120/9,201.60 = 3,204/x
  3. Step 3: Cross multiply
    6,120x = 9,201.60 × 3,204
  4. Step 4: Simplify right side
    6,120x = 29,481,926.40
  5. Step 5: Solve for x
    x = 29,481,926.40/6,120
  6. Step 6: Final answer
    x = 4,817.31

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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.