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Finding the Fourth Proportional to 16,025.96, 22,115.10 and 8,951

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Solution

The fourth proportional to 16,025.96, 22,115.10 and 8,951 is: 12,351.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,025.96 : 22,115.10 = 8,951 : x
  2. Step 2: Convert to fraction form
    16,025.96/22,115.10 = 8,951/x
  3. Step 3: Cross multiply
    16,025.96x = 22,115.10 × 8,951
  4. Step 4: Simplify right side
    16,025.96x = 197,952,260.10
  5. Step 5: Solve for x
    x = 197,952,260.10/16,025.96
  6. Step 6: Final answer
    x = 12,351.98

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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.