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Finding the Fourth Proportional to 6,879.10, 9,492.78 and 4,046.80

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Solution

The fourth proportional to 6,879.10, 9,492.78 and 4,046.80 is: 5,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,879.10 : 9,492.78 = 4,046.80 : x
  2. Step 2: Convert to fraction form
    6,879.10/9,492.78 = 4,046.80/x
  3. Step 3: Cross multiply
    6,879.10x = 9,492.78 × 4,046.80
  4. Step 4: Simplify right side
    6,879.10x = 38,415,382.10
  5. Step 5: Solve for x
    x = 38,415,382.10/6,879.10
  6. Step 6: Final answer
    x = 5,584.36

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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.