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Finding the Fourth Proportional to 6,583.94, 9,085.83 and 4,906.80

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Solution

The fourth proportional to 6,583.94, 9,085.83 and 4,906.80 is: 6,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.94 : 9,085.83 = 4,906.80 : x
  2. Step 2: Convert to fraction form
    6,583.94/9,085.83 = 4,906.80/x
  3. Step 3: Cross multiply
    6,583.94x = 9,085.83 × 4,906.80
  4. Step 4: Simplify right side
    6,583.94x = 44,582,350.64
  5. Step 5: Solve for x
    x = 44,582,350.64/6,583.94
  6. Step 6: Final answer
    x = 6,771.38

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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.