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Finding the Fourth Proportional to 8,578.06, 11,843.04 and 6,584.80

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Solution

The fourth proportional to 8,578.06, 11,843.04 and 6,584.80 is: 9,091.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.06 : 11,843.04 = 6,584.80 : x
  2. Step 2: Convert to fraction form
    8,578.06/11,843.04 = 6,584.80/x
  3. Step 3: Cross multiply
    8,578.06x = 11,843.04 × 6,584.80
  4. Step 4: Simplify right side
    8,578.06x = 77,984,049.79
  5. Step 5: Solve for x
    x = 77,984,049.79/8,578.06
  6. Step 6: Final answer
    x = 9,091.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.