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Finding the Fourth Proportional to 27,481.21, 41,221.86 and 9,946.96

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Solution

The fourth proportional to 27,481.21, 41,221.86 and 9,946.96 is: 14,920.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,481.21 : 41,221.86 = 9,946.96 : x
  2. Step 2: Convert to fraction form
    27,481.21/41,221.86 = 9,946.96/x
  3. Step 3: Cross multiply
    27,481.21x = 41,221.86 × 9,946.96
  4. Step 4: Simplify right side
    27,481.21x = 410,032,192.55
  5. Step 5: Solve for x
    x = 410,032,192.55/27,481.21
  6. Step 6: Final answer
    x = 14,920.46

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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.