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Finding the Fourth Proportional to 11,953.54, 17,930.99 and 3,633.84

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Solution

The fourth proportional to 11,953.54, 17,930.99 and 3,633.84 is: 5,450.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.54 : 17,930.99 = 3,633.84 : x
  2. Step 2: Convert to fraction form
    11,953.54/17,930.99 = 3,633.84/x
  3. Step 3: Cross multiply
    11,953.54x = 17,930.99 × 3,633.84
  4. Step 4: Simplify right side
    11,953.54x = 65,158,348.70
  5. Step 5: Solve for x
    x = 65,158,348.70/11,953.54
  6. Step 6: Final answer
    x = 5,450.97

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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.