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Finding the Fourth Proportional to 6,732, 9,258.84 and 5,403.60

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Solution

The fourth proportional to 6,732, 9,258.84 and 5,403.60 is: 7,431.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732 : 9,258.84 = 5,403.60 : x
  2. Step 2: Convert to fraction form
    6,732/9,258.84 = 5,403.60/x
  3. Step 3: Cross multiply
    6,732x = 9,258.84 × 5,403.60
  4. Step 4: Simplify right side
    6,732x = 50,031,067.82
  5. Step 5: Solve for x
    x = 50,031,067.82/6,732
  6. Step 6: Final answer
    x = 7,431.83

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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.