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Finding the Fourth Proportional to 6,704.96, 9,243.06 and 4,185.96

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Solution

The fourth proportional to 6,704.96, 9,243.06 and 4,185.96 is: 5,770.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.96 : 9,243.06 = 4,185.96 : x
  2. Step 2: Convert to fraction form
    6,704.96/9,243.06 = 4,185.96/x
  3. Step 3: Cross multiply
    6,704.96x = 9,243.06 × 4,185.96
  4. Step 4: Simplify right side
    6,704.96x = 38,691,079.44
  5. Step 5: Solve for x
    x = 38,691,079.44/6,704.96
  6. Step 6: Final answer
    x = 5,770.52

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Half scale
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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.