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Finding the Fourth Proportional to 6,568.65, 9,067.64 and 3,916.98

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Solution

The fourth proportional to 6,568.65, 9,067.64 and 3,916.98 is: 5,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.65 : 9,067.64 = 3,916.98 : x
  2. Step 2: Convert to fraction form
    6,568.65/9,067.64 = 3,916.98/x
  3. Step 3: Cross multiply
    6,568.65x = 9,067.64 × 3,916.98
  4. Step 4: Simplify right side
    6,568.65x = 35,517,764.53
  5. Step 5: Solve for x
    x = 35,517,764.53/6,568.65
  6. Step 6: Final answer
    x = 5,407.16

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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.