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Finding the Fourth Proportional to 6,224.11, 9,336.23 and 1,841.65

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Solution

The fourth proportional to 6,224.11, 9,336.23 and 1,841.65 is: 2,762.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.11 : 9,336.23 = 1,841.65 : x
  2. Step 2: Convert to fraction form
    6,224.11/9,336.23 = 1,841.65/x
  3. Step 3: Cross multiply
    6,224.11x = 9,336.23 × 1,841.65
  4. Step 4: Simplify right side
    6,224.11x = 17,194,067.98
  5. Step 5: Solve for x
    x = 17,194,067.98/6,224.11
  6. Step 6: Final answer
    x = 2,762.49

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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.