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Finding the Fourth Proportional to 18,306.96, 27,461.44 and 5,827.98

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Solution

The fourth proportional to 18,306.96, 27,461.44 and 5,827.98 is: 8,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,306.96 : 27,461.44 = 5,827.98 : x
  2. Step 2: Convert to fraction form
    18,306.96/27,461.44 = 5,827.98/x
  3. Step 3: Cross multiply
    18,306.96x = 27,461.44 × 5,827.98
  4. Step 4: Simplify right side
    18,306.96x = 160,044,723.09
  5. Step 5: Solve for x
    x = 160,044,723.09/18,306.96
  6. Step 6: Final answer
    x = 8,742.29

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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.