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Finding the Fourth Proportional to 6,387.75, 9,583.25 and 2,440.62

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Solution

The fourth proportional to 6,387.75, 9,583.25 and 2,440.62 is: 3,661.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.75 : 9,583.25 = 2,440.62 : x
  2. Step 2: Convert to fraction form
    6,387.75/9,583.25 = 2,440.62/x
  3. Step 3: Cross multiply
    6,387.75x = 9,583.25 × 2,440.62
  4. Step 4: Simplify right side
    6,387.75x = 23,389,059.41
  5. Step 5: Solve for x
    x = 23,389,059.41/6,387.75
  6. Step 6: Final answer
    x = 3,661.55

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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.