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Finding the Fourth Proportional to 12,563.50, 18,863.74 and 7,027.68

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Solution

The fourth proportional to 12,563.50, 18,863.74 and 7,027.68 is: 10,551.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.50 : 18,863.74 = 7,027.68 : x
  2. Step 2: Convert to fraction form
    12,563.50/18,863.74 = 7,027.68/x
  3. Step 3: Cross multiply
    12,563.50x = 18,863.74 × 7,027.68
  4. Step 4: Simplify right side
    12,563.50x = 132,568,328.32
  5. Step 5: Solve for x
    x = 132,568,328.32/12,563.50
  6. Step 6: Final answer
    x = 10,551.86

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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.