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Finding the Fourth Proportional to 6,668.68, 9,201.18 and 4,310.38

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Solution

The fourth proportional to 6,668.68, 9,201.18 and 4,310.38 is: 5,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668.68 : 9,201.18 = 4,310.38 : x
  2. Step 2: Convert to fraction form
    6,668.68/9,201.18 = 4,310.38/x
  3. Step 3: Cross multiply
    6,668.68x = 9,201.18 × 4,310.38
  4. Step 4: Simplify right side
    6,668.68x = 39,660,582.25
  5. Step 5: Solve for x
    x = 39,660,582.25/6,668.68
  6. Step 6: Final answer
    x = 5,947.29

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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.