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Finding the Fourth Proportional to 6,782.89, 10,161.42 and 3,262.50

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Solution

The fourth proportional to 6,782.89, 10,161.42 and 3,262.50 is: 4,887.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.89 : 10,161.42 = 3,262.50 : x
  2. Step 2: Convert to fraction form
    6,782.89/10,161.42 = 3,262.50/x
  3. Step 3: Cross multiply
    6,782.89x = 10,161.42 × 3,262.50
  4. Step 4: Simplify right side
    6,782.89x = 33,151,676.62
  5. Step 5: Solve for x
    x = 33,151,676.62/6,782.89
  6. Step 6: Final answer
    x = 4,887.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.