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Finding the Fourth Proportional to 8,192.86, 11,306.46 and 4,466.86

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Solution

The fourth proportional to 8,192.86, 11,306.46 and 4,466.86 is: 6,164.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.86 : 11,306.46 = 4,466.86 : x
  2. Step 2: Convert to fraction form
    8,192.86/11,306.46 = 4,466.86/x
  3. Step 3: Cross multiply
    8,192.86x = 11,306.46 × 4,466.86
  4. Step 4: Simplify right side
    8,192.86x = 50,504,373.92
  5. Step 5: Solve for x
    x = 50,504,373.92/8,192.86
  6. Step 6: Final answer
    x = 6,164.44

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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.