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Finding the Fourth Proportional to 8,396.88, 12,584.37 and 3,461.55

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Solution

The fourth proportional to 8,396.88, 12,584.37 and 3,461.55 is: 5,187.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.88 : 12,584.37 = 3,461.55 : x
  2. Step 2: Convert to fraction form
    8,396.88/12,584.37 = 3,461.55/x
  3. Step 3: Cross multiply
    8,396.88x = 12,584.37 × 3,461.55
  4. Step 4: Simplify right side
    8,396.88x = 43,561,425.97
  5. Step 5: Solve for x
    x = 43,561,425.97/8,396.88
  6. Step 6: Final answer
    x = 5,187.81

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1.5x scale

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.