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Finding the Fourth Proportional to 18,102.91, 27,137.34 and 9,770.44

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Solution

The fourth proportional to 18,102.91, 27,137.34 and 9,770.44 is: 14,646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102.91 : 27,137.34 = 9,770.44 : x
  2. Step 2: Convert to fraction form
    18,102.91/27,137.34 = 9,770.44/x
  3. Step 3: Cross multiply
    18,102.91x = 27,137.34 × 9,770.44
  4. Step 4: Simplify right side
    18,102.91x = 265,143,752.23
  5. Step 5: Solve for x
    x = 265,143,752.23/18,102.91
  6. Step 6: Final answer
    x = 14,646.47

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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.