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Finding the Fourth Proportional to 6,649.38, 9,174.81 and 5,055.60

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Solution

The fourth proportional to 6,649.38, 9,174.81 and 5,055.60 is: 6,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.38 : 9,174.81 = 5,055.60 : x
  2. Step 2: Convert to fraction form
    6,649.38/9,174.81 = 5,055.60/x
  3. Step 3: Cross multiply
    6,649.38x = 9,174.81 × 5,055.60
  4. Step 4: Simplify right side
    6,649.38x = 46,384,169.44
  5. Step 5: Solve for x
    x = 46,384,169.44/6,649.38
  6. Step 6: Final answer
    x = 6,975.71

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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.