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Finding the Fourth Proportional to 6,212.50, 9,322.22 and 4,828.61

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Solution

The fourth proportional to 6,212.50, 9,322.22 and 4,828.61 is: 7,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.50 : 9,322.22 = 4,828.61 : x
  2. Step 2: Convert to fraction form
    6,212.50/9,322.22 = 4,828.61/x
  3. Step 3: Cross multiply
    6,212.50x = 9,322.22 × 4,828.61
  4. Step 4: Simplify right side
    6,212.50x = 45,013,400.09
  5. Step 5: Solve for x
    x = 45,013,400.09/6,212.50
  6. Step 6: Final answer
    x = 7,245.62

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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.