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Finding the Fourth Proportional to 6,906.69, 10,339.97 and 6,194.30

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Solution

The fourth proportional to 6,906.69, 10,339.97 and 6,194.30 is: 9,273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.69 : 10,339.97 = 6,194.30 : x
  2. Step 2: Convert to fraction form
    6,906.69/10,339.97 = 6,194.30/x
  3. Step 3: Cross multiply
    6,906.69x = 10,339.97 × 6,194.30
  4. Step 4: Simplify right side
    6,906.69x = 64,048,793.50
  5. Step 5: Solve for x
    x = 64,048,793.50/6,906.69
  6. Step 6: Final answer
    x = 9,273.44

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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.