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Finding the Fourth Proportional to 8,504.10, 11,662.44 and 8,149.32

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Solution

The fourth proportional to 8,504.10, 11,662.44 and 8,149.32 is: 11,175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.10 : 11,662.44 = 8,149.32 : x
  2. Step 2: Convert to fraction form
    8,504.10/11,662.44 = 8,149.32/x
  3. Step 3: Cross multiply
    8,504.10x = 11,662.44 × 8,149.32
  4. Step 4: Simplify right side
    8,504.10x = 95,040,955.54
  5. Step 5: Solve for x
    x = 95,040,955.54/8,504.10
  6. Step 6: Final answer
    x = 11,175.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.