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Finding the Fourth Proportional to 11,614.33, 16,027.82 and 6,834.46

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Solution

The fourth proportional to 11,614.33, 16,027.82 and 6,834.46 is: 9,431.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.33 : 16,027.82 = 6,834.46 : x
  2. Step 2: Convert to fraction form
    11,614.33/16,027.82 = 6,834.46/x
  3. Step 3: Cross multiply
    11,614.33x = 16,027.82 × 6,834.46
  4. Step 4: Simplify right side
    11,614.33x = 109,541,420.44
  5. Step 5: Solve for x
    x = 109,541,420.44/11,614.33
  6. Step 6: Final answer
    x = 9,431.58

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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.