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Finding the Fourth Proportional to 8,584.41, 12,854.84 and 7,194.09

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Solution

The fourth proportional to 8,584.41, 12,854.84 and 7,194.09 is: 10,772.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.41 : 12,854.84 = 7,194.09 : x
  2. Step 2: Convert to fraction form
    8,584.41/12,854.84 = 7,194.09/x
  3. Step 3: Cross multiply
    8,584.41x = 12,854.84 × 7,194.09
  4. Step 4: Simplify right side
    8,584.41x = 92,478,839.93
  5. Step 5: Solve for x
    x = 92,478,839.93/8,584.41
  6. Step 6: Final answer
    x = 10,772.88

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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.