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Finding the Fourth Proportional to 6,203.70, 9,287.07 and 4,006.02

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Solution

The fourth proportional to 6,203.70, 9,287.07 and 4,006.02 is: 5,997.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.70 : 9,287.07 = 4,006.02 : x
  2. Step 2: Convert to fraction form
    6,203.70/9,287.07 = 4,006.02/x
  3. Step 3: Cross multiply
    6,203.70x = 9,287.07 × 4,006.02
  4. Step 4: Simplify right side
    6,203.70x = 37,204,188.16
  5. Step 5: Solve for x
    x = 37,204,188.16/6,203.70
  6. Step 6: Final answer
    x = 5,997.10

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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.