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Finding the Fourth Proportional to 9,226.91, 13,811.66 and 8,931.66

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Solution

The fourth proportional to 9,226.91, 13,811.66 and 8,931.66 is: 13,369.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.91 : 13,811.66 = 8,931.66 : x
  2. Step 2: Convert to fraction form
    9,226.91/13,811.66 = 8,931.66/x
  3. Step 3: Cross multiply
    9,226.91x = 13,811.66 × 8,931.66
  4. Step 4: Simplify right side
    9,226.91x = 123,361,006.50
  5. Step 5: Solve for x
    x = 123,361,006.50/9,226.91
  6. Step 6: Final answer
    x = 13,369.71

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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.