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Finding the Fourth Proportional to 13,201.96, 18,219.16 and 7,234.14

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Solution

The fourth proportional to 13,201.96, 18,219.16 and 7,234.14 is: 9,983.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.96 : 18,219.16 = 7,234.14 : x
  2. Step 2: Convert to fraction form
    13,201.96/18,219.16 = 7,234.14/x
  3. Step 3: Cross multiply
    13,201.96x = 18,219.16 × 7,234.14
  4. Step 4: Simplify right side
    13,201.96x = 131,799,954.12
  5. Step 5: Solve for x
    x = 131,799,954.12/13,201.96
  6. Step 6: Final answer
    x = 9,983.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.