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Finding the Fourth Proportional to 11,446.56, 15,794.28 and 6,731.73

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Solution

The fourth proportional to 11,446.56, 15,794.28 and 6,731.73 is: 9,288.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.56 : 15,794.28 = 6,731.73 : x
  2. Step 2: Convert to fraction form
    11,446.56/15,794.28 = 6,731.73/x
  3. Step 3: Cross multiply
    11,446.56x = 15,794.28 × 6,731.73
  4. Step 4: Simplify right side
    11,446.56x = 106,322,828.50
  5. Step 5: Solve for x
    x = 106,322,828.50/11,446.56
  6. Step 6: Final answer
    x = 9,288.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.