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Finding the Fourth Proportional to 27,969.22, 41,953.74 and 8,247.94

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Solution

The fourth proportional to 27,969.22, 41,953.74 and 8,247.94 is: 12,371.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,969.22 : 41,953.74 = 8,247.94 : x
  2. Step 2: Convert to fraction form
    27,969.22/41,953.74 = 8,247.94/x
  3. Step 3: Cross multiply
    27,969.22x = 41,953.74 × 8,247.94
  4. Step 4: Simplify right side
    27,969.22x = 346,031,930.30
  5. Step 5: Solve for x
    x = 346,031,930.30/27,969.22
  6. Step 6: Final answer
    x = 12,371.88

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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.