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Finding the Fourth Proportional to 6,867, 9,477.36 and 4,072.68

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Solution

The fourth proportional to 6,867, 9,477.36 and 4,072.68 is: 5,620.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867 : 9,477.36 = 4,072.68 : x
  2. Step 2: Convert to fraction form
    6,867/9,477.36 = 4,072.68/x
  3. Step 3: Cross multiply
    6,867x = 9,477.36 × 4,072.68
  4. Step 4: Simplify right side
    6,867x = 38,598,254.52
  5. Step 5: Solve for x
    x = 38,598,254.52/6,867
  6. Step 6: Final answer
    x = 5,620.83

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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.