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Finding the Fourth Proportional to 6,906.44, 10,359.66 and 2,289.44

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Solution

The fourth proportional to 6,906.44, 10,359.66 and 2,289.44 is: 3,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.44 : 10,359.66 = 2,289.44 : x
  2. Step 2: Convert to fraction form
    6,906.44/10,359.66 = 2,289.44/x
  3. Step 3: Cross multiply
    6,906.44x = 10,359.66 × 2,289.44
  4. Step 4: Simplify right side
    6,906.44x = 23,717,819.99
  5. Step 5: Solve for x
    x = 23,717,819.99/6,906.44
  6. Step 6: Final answer
    x = 3,434.16

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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.