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Finding the Fourth Proportional to 11,963.26, 16,509.84 and 6,927.70

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Solution

The fourth proportional to 11,963.26, 16,509.84 and 6,927.70 is: 9,560.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.26 : 16,509.84 = 6,927.70 : x
  2. Step 2: Convert to fraction form
    11,963.26/16,509.84 = 6,927.70/x
  3. Step 3: Cross multiply
    11,963.26x = 16,509.84 × 6,927.70
  4. Step 4: Simplify right side
    11,963.26x = 114,375,218.57
  5. Step 5: Solve for x
    x = 114,375,218.57/11,963.26
  6. Step 6: Final answer
    x = 9,560.54

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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.