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Finding the Fourth Proportional to 11,791.85, 17,698.34 and 10,540.46

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Solution

The fourth proportional to 11,791.85, 17,698.34 and 10,540.46 is: 15,820.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.85 : 17,698.34 = 10,540.46 : x
  2. Step 2: Convert to fraction form
    11,791.85/17,698.34 = 10,540.46/x
  3. Step 3: Cross multiply
    11,791.85x = 17,698.34 × 10,540.46
  4. Step 4: Simplify right side
    11,791.85x = 186,548,715.43
  5. Step 5: Solve for x
    x = 186,548,715.43/11,791.85
  6. Step 6: Final answer
    x = 15,820.15

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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.