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Finding the Fourth Proportional to 6,481.86, 8,945.07 and 3,829.26

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Solution

The fourth proportional to 6,481.86, 8,945.07 and 3,829.26 is: 5,284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.86 : 8,945.07 = 3,829.26 : x
  2. Step 2: Convert to fraction form
    6,481.86/8,945.07 = 3,829.26/x
  3. Step 3: Cross multiply
    6,481.86x = 8,945.07 × 3,829.26
  4. Step 4: Simplify right side
    6,481.86x = 34,252,967.62
  5. Step 5: Solve for x
    x = 34,252,967.62/6,481.86
  6. Step 6: Final answer
    x = 5,284.44

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1.5x scale

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.