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Finding the Fourth Proportional to 9,794.57, 13,516.16 and 5,318.23

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Solution

The fourth proportional to 9,794.57, 13,516.16 and 5,318.23 is: 7,338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.57 : 13,516.16 = 5,318.23 : x
  2. Step 2: Convert to fraction form
    9,794.57/13,516.16 = 5,318.23/x
  3. Step 3: Cross multiply
    9,794.57x = 13,516.16 × 5,318.23
  4. Step 4: Simplify right side
    9,794.57x = 71,882,067.82
  5. Step 5: Solve for x
    x = 71,882,067.82/9,794.57
  6. Step 6: Final answer
    x = 7,338.97

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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.