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Finding the Fourth Proportional to 15,175.88, 20,942.64 and 8,461.44

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Solution

The fourth proportional to 15,175.88, 20,942.64 and 8,461.44 is: 11,676.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.88 : 20,942.64 = 8,461.44 : x
  2. Step 2: Convert to fraction form
    15,175.88/20,942.64 = 8,461.44/x
  3. Step 3: Cross multiply
    15,175.88x = 20,942.64 × 8,461.44
  4. Step 4: Simplify right side
    15,175.88x = 177,204,891.80
  5. Step 5: Solve for x
    x = 177,204,891.80/15,175.88
  6. Step 6: Final answer
    x = 11,676.75

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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.