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Finding the Fourth Proportional to 11,963.75, 16,509.98 and 6,659.82

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Solution

The fourth proportional to 11,963.75, 16,509.98 and 6,659.82 is: 9,190.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.75 : 16,509.98 = 6,659.82 : x
  2. Step 2: Convert to fraction form
    11,963.75/16,509.98 = 6,659.82/x
  3. Step 3: Cross multiply
    11,963.75x = 16,509.98 × 6,659.82
  4. Step 4: Simplify right side
    11,963.75x = 109,953,511.65
  5. Step 5: Solve for x
    x = 109,953,511.65/11,963.75
  6. Step 6: Final answer
    x = 9,190.55

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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.