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Finding the Fourth Proportional to 13,675, 18,873.32 and 8,299.56

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Solution

The fourth proportional to 13,675, 18,873.32 and 8,299.56 is: 11,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675 : 18,873.32 = 8,299.56 : x
  2. Step 2: Convert to fraction form
    13,675/18,873.32 = 8,299.56/x
  3. Step 3: Cross multiply
    13,675x = 18,873.32 × 8,299.56
  4. Step 4: Simplify right side
    13,675x = 156,640,251.74
  5. Step 5: Solve for x
    x = 156,640,251.74/13,675
  6. Step 6: Final answer
    x = 11,454.50

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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.