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Finding the Fourth Proportional to 8,578.94, 12,847.44 and 7,747.88

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Solution

The fourth proportional to 8,578.94, 12,847.44 and 7,747.88 is: 11,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.94 : 12,847.44 = 7,747.88 : x
  2. Step 2: Convert to fraction form
    8,578.94/12,847.44 = 7,747.88/x
  3. Step 3: Cross multiply
    8,578.94x = 12,847.44 × 7,747.88
  4. Step 4: Simplify right side
    8,578.94x = 99,540,423.43
  5. Step 5: Solve for x
    x = 99,540,423.43/8,578.94
  6. Step 6: Final answer
    x = 11,602.88

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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.