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Finding the Fourth Proportional to 11,446.92, 17,174.49 and 7,059.27

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Solution

The fourth proportional to 11,446.92, 17,174.49 and 7,059.27 is: 10,591.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.92 : 17,174.49 = 7,059.27 : x
  2. Step 2: Convert to fraction form
    11,446.92/17,174.49 = 7,059.27/x
  3. Step 3: Cross multiply
    11,446.92x = 17,174.49 × 7,059.27
  4. Step 4: Simplify right side
    11,446.92x = 121,239,362.02
  5. Step 5: Solve for x
    x = 121,239,362.02/11,446.92
  6. Step 6: Final answer
    x = 10,591.44

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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.