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Finding the Fourth Proportional to 6,361.86, 9,542.70 and 2,467.02

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Solution

The fourth proportional to 6,361.86, 9,542.70 and 2,467.02 is: 3,700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.86 : 9,542.70 = 2,467.02 : x
  2. Step 2: Convert to fraction form
    6,361.86/9,542.70 = 2,467.02/x
  3. Step 3: Cross multiply
    6,361.86x = 9,542.70 × 2,467.02
  4. Step 4: Simplify right side
    6,361.86x = 23,542,031.75
  5. Step 5: Solve for x
    x = 23,542,031.75/6,361.86
  6. Step 6: Final answer
    x = 3,700.50

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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.