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Finding the Fourth Proportional to 6,393.75, 9,584.97 and 2,495.43

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Solution

The fourth proportional to 6,393.75, 9,584.97 and 2,495.43 is: 3,740.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.75 : 9,584.97 = 2,495.43 : x
  2. Step 2: Convert to fraction form
    6,393.75/9,584.97 = 2,495.43/x
  3. Step 3: Cross multiply
    6,393.75x = 9,584.97 × 2,495.43
  4. Step 4: Simplify right side
    6,393.75x = 23,918,621.69
  5. Step 5: Solve for x
    x = 23,918,621.69/6,393.75
  6. Step 6: Final answer
    x = 3,740.94

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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.