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Finding the Fourth Proportional to 7,349, 11,023.68 and 2,906.48

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Solution

The fourth proportional to 7,349, 11,023.68 and 2,906.48 is: 4,359.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349 : 11,023.68 = 2,906.48 : x
  2. Step 2: Convert to fraction form
    7,349/11,023.68 = 2,906.48/x
  3. Step 3: Cross multiply
    7,349x = 11,023.68 × 2,906.48
  4. Step 4: Simplify right side
    7,349x = 32,040,105.45
  5. Step 5: Solve for x
    x = 32,040,105.45/7,349
  6. Step 6: Final answer
    x = 4,359.79

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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.