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Finding the Fourth Proportional to 18,311.69, 27,471.63 and 7,782.05

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Solution

The fourth proportional to 18,311.69, 27,471.63 and 7,782.05 is: 11,674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,311.69 : 27,471.63 = 7,782.05 : x
  2. Step 2: Convert to fraction form
    18,311.69/27,471.63 = 7,782.05/x
  3. Step 3: Cross multiply
    18,311.69x = 27,471.63 × 7,782.05
  4. Step 4: Simplify right side
    18,311.69x = 213,785,421.97
  5. Step 5: Solve for x
    x = 213,785,421.97/18,311.69
  6. Step 6: Final answer
    x = 11,674.81

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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.