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Finding the Fourth Proportional to 11,600.98, 16,020.74 and 8,025.10

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Solution

The fourth proportional to 11,600.98, 16,020.74 and 8,025.10 is: 11,082.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.98 : 16,020.74 = 8,025.10 : x
  2. Step 2: Convert to fraction form
    11,600.98/16,020.74 = 8,025.10/x
  3. Step 3: Cross multiply
    11,600.98x = 16,020.74 × 8,025.10
  4. Step 4: Simplify right side
    11,600.98x = 128,568,040.57
  5. Step 5: Solve for x
    x = 128,568,040.57/11,600.98
  6. Step 6: Final answer
    x = 11,082.52

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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.