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Finding the Fourth Proportional to 6,662.61, 9,194.38 and 3,678.37

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Solution

The fourth proportional to 6,662.61, 9,194.38 and 3,678.37 is: 5,076.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.61 : 9,194.38 = 3,678.37 : x
  2. Step 2: Convert to fraction form
    6,662.61/9,194.38 = 3,678.37/x
  3. Step 3: Cross multiply
    6,662.61x = 9,194.38 × 3,678.37
  4. Step 4: Simplify right side
    6,662.61x = 33,820,299.38
  5. Step 5: Solve for x
    x = 33,820,299.38/6,662.61
  6. Step 6: Final answer
    x = 5,076.13

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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.