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Finding the Fourth Proportional to 11,999.67, 16,559.39 and 6,964.76

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Solution

The fourth proportional to 11,999.67, 16,559.39 and 6,964.76 is: 9,611.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,999.67 : 16,559.39 = 6,964.76 : x
  2. Step 2: Convert to fraction form
    11,999.67/16,559.39 = 6,964.76/x
  3. Step 3: Cross multiply
    11,999.67x = 16,559.39 × 6,964.76
  4. Step 4: Simplify right side
    11,999.67x = 115,332,059.48
  5. Step 5: Solve for x
    x = 115,332,059.48/11,999.67
  6. Step 6: Final answer
    x = 9,611.27

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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.