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Finding the Fourth Proportional to 6,336.81, 9,505.22 and 4,223.97

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Solution

The fourth proportional to 6,336.81, 9,505.22 and 4,223.97 is: 6,335.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.81 : 9,505.22 = 4,223.97 : x
  2. Step 2: Convert to fraction form
    6,336.81/9,505.22 = 4,223.97/x
  3. Step 3: Cross multiply
    6,336.81x = 9,505.22 × 4,223.97
  4. Step 4: Simplify right side
    6,336.81x = 40,149,743.00
  5. Step 5: Solve for x
    x = 40,149,743.00/6,336.81
  6. Step 6: Final answer
    x = 6,335.96

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1.5x scale

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.