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Finding the Fourth Proportional to 6,469.68, 9,704.50 and 2,027.68

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Solution

The fourth proportional to 6,469.68, 9,704.50 and 2,027.68 is: 3,041.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.68 : 9,704.50 = 2,027.68 : x
  2. Step 2: Convert to fraction form
    6,469.68/9,704.50 = 2,027.68/x
  3. Step 3: Cross multiply
    6,469.68x = 9,704.50 × 2,027.68
  4. Step 4: Simplify right side
    6,469.68x = 19,677,660.07
  5. Step 5: Solve for x
    x = 19,677,660.07/6,469.68
  6. Step 6: Final answer
    x = 3,041.52

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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.