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Finding the Fourth Proportional to 6,646.38, 9,171.76 and 3,662.15

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Solution

The fourth proportional to 6,646.38, 9,171.76 and 3,662.15 is: 5,053.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.38 : 9,171.76 = 3,662.15 : x
  2. Step 2: Convert to fraction form
    6,646.38/9,171.76 = 3,662.15/x
  3. Step 3: Cross multiply
    6,646.38x = 9,171.76 × 3,662.15
  4. Step 4: Simplify right side
    6,646.38x = 33,588,360.88
  5. Step 5: Solve for x
    x = 33,588,360.88/6,646.38
  6. Step 6: Final answer
    x = 5,053.63

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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.