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Finding the Fourth Proportional to 6,662.84, 9,194.81 and 3,678.62

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Solution

The fourth proportional to 6,662.84, 9,194.81 and 3,678.62 is: 5,076.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.84 : 9,194.81 = 3,678.62 : x
  2. Step 2: Convert to fraction form
    6,662.84/9,194.81 = 3,678.62/x
  3. Step 3: Cross multiply
    6,662.84x = 9,194.81 × 3,678.62
  4. Step 4: Simplify right side
    6,662.84x = 33,824,147.60
  5. Step 5: Solve for x
    x = 33,824,147.60/6,662.84
  6. Step 6: Final answer
    x = 5,076.54

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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.