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Finding the Fourth Proportional to 6,668.42, 9,201.16 and 4,016

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Solution

The fourth proportional to 6,668.42, 9,201.16 and 4,016 is: 5,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668.42 : 9,201.16 = 4,016 : x
  2. Step 2: Convert to fraction form
    6,668.42/9,201.16 = 4,016/x
  3. Step 3: Cross multiply
    6,668.42x = 9,201.16 × 4,016
  4. Step 4: Simplify right side
    6,668.42x = 36,951,858.56
  5. Step 5: Solve for x
    x = 36,951,858.56/6,668.42
  6. Step 6: Final answer
    x = 5,541.32

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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.