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Finding the Fourth Proportional to 6,784.01, 10,167.51 and 3,863.96

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Solution

The fourth proportional to 6,784.01, 10,167.51 and 3,863.96 is: 5,791.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.01 : 10,167.51 = 3,863.96 : x
  2. Step 2: Convert to fraction form
    6,784.01/10,167.51 = 3,863.96/x
  3. Step 3: Cross multiply
    6,784.01x = 10,167.51 × 3,863.96
  4. Step 4: Simplify right side
    6,784.01x = 39,286,851.94
  5. Step 5: Solve for x
    x = 39,286,851.94/6,784.01
  6. Step 6: Final answer
    x = 5,791.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.