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Finding the Fourth Proportional to 6,662.67, 9,194.48 and 3,678.50

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Solution

The fourth proportional to 6,662.67, 9,194.48 and 3,678.50 is: 5,076.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.67 : 9,194.48 = 3,678.50 : x
  2. Step 2: Convert to fraction form
    6,662.67/9,194.48 = 3,678.50/x
  3. Step 3: Cross multiply
    6,662.67x = 9,194.48 × 3,678.50
  4. Step 4: Simplify right side
    6,662.67x = 33,821,894.68
  5. Step 5: Solve for x
    x = 33,821,894.68/6,662.67
  6. Step 6: Final answer
    x = 5,076.33

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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.