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Finding the Fourth Proportional to 5,270.97, 7,906.46 and 4,950.21

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Solution

The fourth proportional to 5,270.97, 7,906.46 and 4,950.21 is: 7,425.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.97 : 7,906.46 = 4,950.21 : x
  2. Step 2: Convert to fraction form
    5,270.97/7,906.46 = 4,950.21/x
  3. Step 3: Cross multiply
    5,270.97x = 7,906.46 × 4,950.21
  4. Step 4: Simplify right side
    5,270.97x = 39,138,637.36
  5. Step 5: Solve for x
    x = 39,138,637.36/5,270.97
  6. Step 6: Final answer
    x = 7,425.32

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1.5x scale

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.