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Finding the Fourth Proportional to 6,906.50, 10,359.78 and 2,289.50

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Solution

The fourth proportional to 6,906.50, 10,359.78 and 2,289.50 is: 3,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.50 : 10,359.78 = 2,289.50 : x
  2. Step 2: Convert to fraction form
    6,906.50/10,359.78 = 2,289.50/x
  3. Step 3: Cross multiply
    6,906.50x = 10,359.78 × 2,289.50
  4. Step 4: Simplify right side
    6,906.50x = 23,718,716.31
  5. Step 5: Solve for x
    x = 23,718,716.31/6,906.50
  6. Step 6: Final answer
    x = 3,434.26

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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.