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Finding the Fourth Proportional to 6,686.37, 9,227.34 and 3,661.77

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Solution

The fourth proportional to 6,686.37, 9,227.34 and 3,661.77 is: 5,053.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.37 : 9,227.34 = 3,661.77 : x
  2. Step 2: Convert to fraction form
    6,686.37/9,227.34 = 3,661.77/x
  3. Step 3: Cross multiply
    6,686.37x = 9,227.34 × 3,661.77
  4. Step 4: Simplify right side
    6,686.37x = 33,788,431.39
  5. Step 5: Solve for x
    x = 33,788,431.39/6,686.37
  6. Step 6: Final answer
    x = 5,053.33

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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.