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Finding the Fourth Proportional to 11,773.91, 16,236.80 and 7,733.58

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Solution

The fourth proportional to 11,773.91, 16,236.80 and 7,733.58 is: 10,664.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.91 : 16,236.80 = 7,733.58 : x
  2. Step 2: Convert to fraction form
    11,773.91/16,236.80 = 7,733.58/x
  3. Step 3: Cross multiply
    11,773.91x = 16,236.80 × 7,733.58
  4. Step 4: Simplify right side
    11,773.91x = 125,568,564.69
  5. Step 5: Solve for x
    x = 125,568,564.69/11,773.91
  6. Step 6: Final answer
    x = 10,664.99

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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.