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Finding the Fourth Proportional to 11,596.92, 17,246.10 and 11,227.86

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Solution

The fourth proportional to 11,596.92, 17,246.10 and 11,227.86 is: 16,697.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.92 : 17,246.10 = 11,227.86 : x
  2. Step 2: Convert to fraction form
    11,596.92/17,246.10 = 11,227.86/x
  3. Step 3: Cross multiply
    11,596.92x = 17,246.10 × 11,227.86
  4. Step 4: Simplify right side
    11,596.92x = 193,636,796.35
  5. Step 5: Solve for x
    x = 193,636,796.35/11,596.92
  6. Step 6: Final answer
    x = 16,697.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.