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Finding the Fourth Proportional to 6,664.38, 9,196.86 and 3,680.16

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Solution

The fourth proportional to 6,664.38, 9,196.86 and 3,680.16 is: 5,078.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.38 : 9,196.86 = 3,680.16 : x
  2. Step 2: Convert to fraction form
    6,664.38/9,196.86 = 3,680.16/x
  3. Step 3: Cross multiply
    6,664.38x = 9,196.86 × 3,680.16
  4. Step 4: Simplify right side
    6,664.38x = 33,845,916.30
  5. Step 5: Solve for x
    x = 33,845,916.30/6,664.38
  6. Step 6: Final answer
    x = 5,078.63

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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.