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Finding the Fourth Proportional to 11,791.74, 16,274.12 and 6,756.78

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Solution

The fourth proportional to 11,791.74, 16,274.12 and 6,756.78 is: 9,325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.74 : 16,274.12 = 6,756.78 : x
  2. Step 2: Convert to fraction form
    11,791.74/16,274.12 = 6,756.78/x
  3. Step 3: Cross multiply
    11,791.74x = 16,274.12 × 6,756.78
  4. Step 4: Simplify right side
    11,791.74x = 109,960,614.75
  5. Step 5: Solve for x
    x = 109,960,614.75/11,791.74
  6. Step 6: Final answer
    x = 9,325.22

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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.