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Finding the Fourth Proportional to 8,192.56, 11,305.80 and 4,466.56

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Solution

The fourth proportional to 8,192.56, 11,305.80 and 4,466.56 is: 6,163.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.56 : 11,305.80 = 4,466.56 : x
  2. Step 2: Convert to fraction form
    8,192.56/11,305.80 = 4,466.56/x
  3. Step 3: Cross multiply
    8,192.56x = 11,305.80 × 4,466.56
  4. Step 4: Simplify right side
    8,192.56x = 50,498,034.05
  5. Step 5: Solve for x
    x = 50,498,034.05/8,192.56
  6. Step 6: Final answer
    x = 6,163.89

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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.