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Finding the Fourth Proportional to 6,163.61, 9,243.44 and 2,002.64

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Solution

The fourth proportional to 6,163.61, 9,243.44 and 2,002.64 is: 3,003.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.61 : 9,243.44 = 2,002.64 : x
  2. Step 2: Convert to fraction form
    6,163.61/9,243.44 = 2,002.64/x
  3. Step 3: Cross multiply
    6,163.61x = 9,243.44 × 2,002.64
  4. Step 4: Simplify right side
    6,163.61x = 18,511,282.68
  5. Step 5: Solve for x
    x = 18,511,282.68/6,163.61
  6. Step 6: Final answer
    x = 3,003.32

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1.5x scale

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.