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Finding the Fourth Proportional to 11,771.76, 17,657.44 and 6,223.92

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Solution

The fourth proportional to 11,771.76, 17,657.44 and 6,223.92 is: 9,335.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.76 : 17,657.44 = 6,223.92 : x
  2. Step 2: Convert to fraction form
    11,771.76/17,657.44 = 6,223.92/x
  3. Step 3: Cross multiply
    11,771.76x = 17,657.44 × 6,223.92
  4. Step 4: Simplify right side
    11,771.76x = 109,898,493.96
  5. Step 5: Solve for x
    x = 109,898,493.96/11,771.76
  6. Step 6: Final answer
    x = 9,335.77

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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.