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Finding the Fourth Proportional to 11,772.67, 17,635.91 and 6,831.94

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Solution

The fourth proportional to 11,772.67, 17,635.91 and 6,831.94 is: 10,234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.67 : 17,635.91 = 6,831.94 : x
  2. Step 2: Convert to fraction form
    11,772.67/17,635.91 = 6,831.94/x
  3. Step 3: Cross multiply
    11,772.67x = 17,635.91 × 6,831.94
  4. Step 4: Simplify right side
    11,772.67x = 120,487,478.97
  5. Step 5: Solve for x
    x = 120,487,478.97/11,772.67
  6. Step 6: Final answer
    x = 10,234.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.