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Finding the Fourth Proportional to 6,147.50, 9,221.24 and 4,922.62

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Solution

The fourth proportional to 6,147.50, 9,221.24 and 4,922.62 is: 7,383.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.50 : 9,221.24 = 4,922.62 : x
  2. Step 2: Convert to fraction form
    6,147.50/9,221.24 = 4,922.62/x
  3. Step 3: Cross multiply
    6,147.50x = 9,221.24 × 4,922.62
  4. Step 4: Simplify right side
    6,147.50x = 45,392,701.57
  5. Step 5: Solve for x
    x = 45,392,701.57/6,147.50
  6. Step 6: Final answer
    x = 7,383.93

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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.