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Finding the Fourth Proportional to 6,668.48, 9,202.55 and 4,017.65

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Solution

The fourth proportional to 6,668.48, 9,202.55 and 4,017.65 is: 5,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668.48 : 9,202.55 = 4,017.65 : x
  2. Step 2: Convert to fraction form
    6,668.48/9,202.55 = 4,017.65/x
  3. Step 3: Cross multiply
    6,668.48x = 9,202.55 × 4,017.65
  4. Step 4: Simplify right side
    6,668.48x = 36,972,625.01
  5. Step 5: Solve for x
    x = 36,972,625.01/6,668.48
  6. Step 6: Final answer
    x = 5,544.39

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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.