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Finding the Fourth Proportional to 9,794.27, 13,525.62 and 8,369.57

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Solution

The fourth proportional to 9,794.27, 13,525.62 and 8,369.57 is: 11,558.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.27 : 13,525.62 = 8,369.57 : x
  2. Step 2: Convert to fraction form
    9,794.27/13,525.62 = 8,369.57/x
  3. Step 3: Cross multiply
    9,794.27x = 13,525.62 × 8,369.57
  4. Step 4: Simplify right side
    9,794.27x = 113,203,623.38
  5. Step 5: Solve for x
    x = 113,203,623.38/9,794.27
  6. Step 6: Final answer
    x = 11,558.15

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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.