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Finding the Fourth Proportional to 8,192.50, 11,305.74 and 4,466.50

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Solution

The fourth proportional to 8,192.50, 11,305.74 and 4,466.50 is: 6,163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.50 : 11,305.74 = 4,466.50 : x
  2. Step 2: Convert to fraction form
    8,192.50/11,305.74 = 4,466.50/x
  3. Step 3: Cross multiply
    8,192.50x = 11,305.74 × 4,466.50
  4. Step 4: Simplify right side
    8,192.50x = 50,497,087.71
  5. Step 5: Solve for x
    x = 50,497,087.71/8,192.50
  6. Step 6: Final answer
    x = 6,163.82

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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.