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Finding the Fourth Proportional to 6,800.22, 9,385.23 and 3,816.23

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Solution

The fourth proportional to 6,800.22, 9,385.23 and 3,816.23 is: 5,266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.22 : 9,385.23 = 3,816.23 : x
  2. Step 2: Convert to fraction form
    6,800.22/9,385.23 = 3,816.23/x
  3. Step 3: Cross multiply
    6,800.22x = 9,385.23 × 3,816.23
  4. Step 4: Simplify right side
    6,800.22x = 35,816,198.86
  5. Step 5: Solve for x
    x = 35,816,198.86/6,800.22
  6. Step 6: Final answer
    x = 5,266.92

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Half scale
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Double 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.