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Finding the Fourth Proportional to 18,593.78, 27,883 and 9,230.36

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Solution

The fourth proportional to 18,593.78, 27,883 and 9,230.36 is: 13,841.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,593.78 : 27,883 = 9,230.36 : x
  2. Step 2: Convert to fraction form
    18,593.78/27,883 = 9,230.36/x
  3. Step 3: Cross multiply
    18,593.78x = 27,883 × 9,230.36
  4. Step 4: Simplify right side
    18,593.78x = 257,370,127.88
  5. Step 5: Solve for x
    x = 257,370,127.88/18,593.78
  6. Step 6: Final answer
    x = 13,841.73

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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.