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Finding the Fourth Proportional to 6,663.51, 9,195.79 and 3,679.54

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Solution

The fourth proportional to 6,663.51, 9,195.79 and 3,679.54 is: 5,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.51 : 9,195.79 = 3,679.54 : x
  2. Step 2: Convert to fraction form
    6,663.51/9,195.79 = 3,679.54/x
  3. Step 3: Cross multiply
    6,663.51x = 9,195.79 × 3,679.54
  4. Step 4: Simplify right side
    6,663.51x = 33,836,231.16
  5. Step 5: Solve for x
    x = 33,836,231.16/6,663.51
  6. Step 6: Final answer
    x = 5,077.84

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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.