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Finding the Fourth Proportional to 9,794.93, 14,694.82 and 3,221.78

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Solution

The fourth proportional to 9,794.93, 14,694.82 and 3,221.78 is: 4,833.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.93 : 14,694.82 = 3,221.78 : x
  2. Step 2: Convert to fraction form
    9,794.93/14,694.82 = 3,221.78/x
  3. Step 3: Cross multiply
    9,794.93x = 14,694.82 × 3,221.78
  4. Step 4: Simplify right side
    9,794.93x = 47,343,395.65
  5. Step 5: Solve for x
    x = 47,343,395.65/9,794.93
  6. Step 6: Final answer
    x = 4,833.46

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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.