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Finding the Fourth Proportional to 6,713.67, 10,071.90 and 2,033.94

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Solution

The fourth proportional to 6,713.67, 10,071.90 and 2,033.94 is: 3,051.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.67 : 10,071.90 = 2,033.94 : x
  2. Step 2: Convert to fraction form
    6,713.67/10,071.90 = 2,033.94/x
  3. Step 3: Cross multiply
    6,713.67x = 10,071.90 × 2,033.94
  4. Step 4: Simplify right side
    6,713.67x = 20,485,640.29
  5. Step 5: Solve for x
    x = 20,485,640.29/6,713.67
  6. Step 6: Final answer
    x = 3,051.33

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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.