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Finding the Fourth Proportional to 18,232.50, 25,160.87 and 9,849

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Solution

The fourth proportional to 18,232.50, 25,160.87 and 9,849 is: 13,591.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,232.50 : 25,160.87 = 9,849 : x
  2. Step 2: Convert to fraction form
    18,232.50/25,160.87 = 9,849/x
  3. Step 3: Cross multiply
    18,232.50x = 25,160.87 × 9,849
  4. Step 4: Simplify right side
    18,232.50x = 247,809,433.25
  5. Step 5: Solve for x
    x = 247,809,433.25/18,232.50
  6. Step 6: Final answer
    x = 13,591.63

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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.