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Finding the Fourth Proportional to 6,668, 9,205.56 and 4,016

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Solution

The fourth proportional to 6,668, 9,205.56 and 4,016 is: 5,544.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668 : 9,205.56 = 4,016 : x
  2. Step 2: Convert to fraction form
    6,668/9,205.56 = 4,016/x
  3. Step 3: Cross multiply
    6,668x = 9,205.56 × 4,016
  4. Step 4: Simplify right side
    6,668x = 36,969,528.96
  5. Step 5: Solve for x
    x = 36,969,528.96/6,668
  6. Step 6: Final answer
    x = 5,544.32

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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.