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Finding the Fourth Proportional to 6,584.50, 9,880.63 and 2,427.41

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Solution

The fourth proportional to 6,584.50, 9,880.63 and 2,427.41 is: 3,642.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.50 : 9,880.63 = 2,427.41 : x
  2. Step 2: Convert to fraction form
    6,584.50/9,880.63 = 2,427.41/x
  3. Step 3: Cross multiply
    6,584.50x = 9,880.63 × 2,427.41
  4. Step 4: Simplify right side
    6,584.50x = 23,984,290.67
  5. Step 5: Solve for x
    x = 23,984,290.67/6,584.50
  6. Step 6: Final answer
    x = 3,642.54

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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.