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Finding the Fourth Proportional to 18,462.24, 27,689.22 and 5,311.68

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Solution

The fourth proportional to 18,462.24, 27,689.22 and 5,311.68 is: 7,966.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,462.24 : 27,689.22 = 5,311.68 : x
  2. Step 2: Convert to fraction form
    18,462.24/27,689.22 = 5,311.68/x
  3. Step 3: Cross multiply
    18,462.24x = 27,689.22 × 5,311.68
  4. Step 4: Simplify right side
    18,462.24x = 147,076,276.09
  5. Step 5: Solve for x
    x = 147,076,276.09/18,462.24
  6. Step 6: Final answer
    x = 7,966.33

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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.