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Finding the Fourth Proportional to 7,107.67, 9,809 and 4,124.44

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Solution

The fourth proportional to 7,107.67, 9,809 and 4,124.44 is: 5,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.67 : 9,809 = 4,124.44 : x
  2. Step 2: Convert to fraction form
    7,107.67/9,809 = 4,124.44/x
  3. Step 3: Cross multiply
    7,107.67x = 9,809 × 4,124.44
  4. Step 4: Simplify right side
    7,107.67x = 40,456,631.96
  5. Step 5: Solve for x
    x = 40,456,631.96/7,107.67
  6. Step 6: Final answer
    x = 5,691.97

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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.