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Finding the Fourth Proportional to 11,481.84, 17,221.14 and 3,689.64

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Solution

The fourth proportional to 11,481.84, 17,221.14 and 3,689.64 is: 5,533.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,481.84 : 17,221.14 = 3,689.64 : x
  2. Step 2: Convert to fraction form
    11,481.84/17,221.14 = 3,689.64/x
  3. Step 3: Cross multiply
    11,481.84x = 17,221.14 × 3,689.64
  4. Step 4: Simplify right side
    11,481.84x = 63,539,806.99
  5. Step 5: Solve for x
    x = 63,539,806.99/11,481.84
  6. Step 6: Final answer
    x = 5,533.94

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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.