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Finding the Fourth Proportional to 12,849.92, 17,732.76 and 8,138.06

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Solution

The fourth proportional to 12,849.92, 17,732.76 and 8,138.06 is: 11,230.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,849.92 : 17,732.76 = 8,138.06 : x
  2. Step 2: Convert to fraction form
    12,849.92/17,732.76 = 8,138.06/x
  3. Step 3: Cross multiply
    12,849.92x = 17,732.76 × 8,138.06
  4. Step 4: Simplify right side
    12,849.92x = 144,310,264.85
  5. Step 5: Solve for x
    x = 144,310,264.85/12,849.92
  6. Step 6: Final answer
    x = 11,230.44

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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.