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Finding the Fourth Proportional to 6,773, 9,346.48 and 3,789.11

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Solution

The fourth proportional to 6,773, 9,346.48 and 3,789.11 is: 5,228.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773 : 9,346.48 = 3,789.11 : x
  2. Step 2: Convert to fraction form
    6,773/9,346.48 = 3,789.11/x
  3. Step 3: Cross multiply
    6,773x = 9,346.48 × 3,789.11
  4. Step 4: Simplify right side
    6,773x = 35,414,840.83
  5. Step 5: Solve for x
    x = 35,414,840.83/6,773
  6. Step 6: Final answer
    x = 5,228.83

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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.