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Finding the Fourth Proportional to 6,364.86, 9,481.67 and 6,171.41

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Solution

The fourth proportional to 6,364.86, 9,481.67 and 6,171.41 is: 9,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.86 : 9,481.67 = 6,171.41 : x
  2. Step 2: Convert to fraction form
    6,364.86/9,481.67 = 6,171.41/x
  3. Step 3: Cross multiply
    6,364.86x = 9,481.67 × 6,171.41
  4. Step 4: Simplify right side
    6,364.86x = 58,515,194.79
  5. Step 5: Solve for x
    x = 58,515,194.79/6,364.86
  6. Step 6: Final answer
    x = 9,193.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.