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Finding the Fourth Proportional to 18,549.97, 27,825 and 5,402.66

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Solution

The fourth proportional to 18,549.97, 27,825 and 5,402.66 is: 8,104.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,549.97 : 27,825 = 5,402.66 : x
  2. Step 2: Convert to fraction form
    18,549.97/27,825 = 5,402.66/x
  3. Step 3: Cross multiply
    18,549.97x = 27,825 × 5,402.66
  4. Step 4: Simplify right side
    18,549.97x = 150,329,014.50
  5. Step 5: Solve for x
    x = 150,329,014.50/18,549.97
  6. Step 6: Final answer
    x = 8,104.01

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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.