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Finding the Fourth Proportional to 11,786.14, 17,640.33 and 10,490.14

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Solution

The fourth proportional to 11,786.14, 17,640.33 and 10,490.14 is: 15,700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.14 : 17,640.33 = 10,490.14 : x
  2. Step 2: Convert to fraction form
    11,786.14/17,640.33 = 10,490.14/x
  3. Step 3: Cross multiply
    11,786.14x = 17,640.33 × 10,490.14
  4. Step 4: Simplify right side
    11,786.14x = 185,049,531.35
  5. Step 5: Solve for x
    x = 185,049,531.35/11,786.14
  6. Step 6: Final answer
    x = 15,700.61

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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.