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Finding the Fourth Proportional to 6,295.77, 9,481.13 and 5,483.84

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Solution

The fourth proportional to 6,295.77, 9,481.13 and 5,483.84 is: 8,258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.77 : 9,481.13 = 5,483.84 : x
  2. Step 2: Convert to fraction form
    6,295.77/9,481.13 = 5,483.84/x
  3. Step 3: Cross multiply
    6,295.77x = 9,481.13 × 5,483.84
  4. Step 4: Simplify right side
    6,295.77x = 51,993,016.79
  5. Step 5: Solve for x
    x = 51,993,016.79/6,295.77
  6. Step 6: Final answer
    x = 8,258.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.