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Finding the Fourth Proportional to 6,266, 9,400.44 and 2,162

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Solution

The fourth proportional to 6,266, 9,400.44 and 2,162 is: 3,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266 : 9,400.44 = 2,162 : x
  2. Step 2: Convert to fraction form
    6,266/9,400.44 = 2,162/x
  3. Step 3: Cross multiply
    6,266x = 9,400.44 × 2,162
  4. Step 4: Simplify right side
    6,266x = 20,323,751.28
  5. Step 5: Solve for x
    x = 20,323,751.28/6,266
  6. Step 6: Final answer
    x = 3,243.50

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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.