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Finding the Fourth Proportional to 7,794.74, 10,757.49 and 5,282.09

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Solution

The fourth proportional to 7,794.74, 10,757.49 and 5,282.09 is: 7,289.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.74 : 10,757.49 = 5,282.09 : x
  2. Step 2: Convert to fraction form
    7,794.74/10,757.49 = 5,282.09/x
  3. Step 3: Cross multiply
    7,794.74x = 10,757.49 × 5,282.09
  4. Step 4: Simplify right side
    7,794.74x = 56,821,976.57
  5. Step 5: Solve for x
    x = 56,821,976.57/7,794.74
  6. Step 6: Final answer
    x = 7,289.79

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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.