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Finding the Fourth Proportional to 11,697.26, 16,141.65 and 6,661.69

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Solution

The fourth proportional to 11,697.26, 16,141.65 and 6,661.69 is: 9,192.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.26 : 16,141.65 = 6,661.69 : x
  2. Step 2: Convert to fraction form
    11,697.26/16,141.65 = 6,661.69/x
  3. Step 3: Cross multiply
    11,697.26x = 16,141.65 × 6,661.69
  4. Step 4: Simplify right side
    11,697.26x = 107,530,750.06
  5. Step 5: Solve for x
    x = 107,530,750.06/11,697.26
  6. Step 6: Final answer
    x = 9,192.81

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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.