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Finding the Fourth Proportional to 6,265.60, 9,392.22 and 2,757.50

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Solution

The fourth proportional to 6,265.60, 9,392.22 and 2,757.50 is: 4,133.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.60 : 9,392.22 = 2,757.50 : x
  2. Step 2: Convert to fraction form
    6,265.60/9,392.22 = 2,757.50/x
  3. Step 3: Cross multiply
    6,265.60x = 9,392.22 × 2,757.50
  4. Step 4: Simplify right side
    6,265.60x = 25,899,046.65
  5. Step 5: Solve for x
    x = 25,899,046.65/6,265.60
  6. Step 6: Final answer
    x = 4,133.53

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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.