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Finding the Fourth Proportional to 7,794.57, 10,760.94 and 5,149.65

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Solution

The fourth proportional to 7,794.57, 10,760.94 and 5,149.65 is: 7,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.57 : 10,760.94 = 5,149.65 : x
  2. Step 2: Convert to fraction form
    7,794.57/10,760.94 = 5,149.65/x
  3. Step 3: Cross multiply
    7,794.57x = 10,760.94 × 5,149.65
  4. Step 4: Simplify right side
    7,794.57x = 55,415,074.67
  5. Step 5: Solve for x
    x = 55,415,074.67/7,794.57
  6. Step 6: Final answer
    x = 7,109.45

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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.