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Finding the Fourth Proportional to 6,879.85, 9,480.57 and 4,884.82

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Solution

The fourth proportional to 6,879.85, 9,480.57 and 4,884.82 is: 6,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,879.85 : 9,480.57 = 4,884.82 : x
  2. Step 2: Convert to fraction form
    6,879.85/9,480.57 = 4,884.82/x
  3. Step 3: Cross multiply
    6,879.85x = 9,480.57 × 4,884.82
  4. Step 4: Simplify right side
    6,879.85x = 46,310,865.74
  5. Step 5: Solve for x
    x = 46,310,865.74/6,879.85
  6. Step 6: Final answer
    x = 6,731.38

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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.