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Finding the Fourth Proportional to 16,048.46, 22,147.48 and 8,974.86

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Solution

The fourth proportional to 16,048.46, 22,147.48 and 8,974.86 is: 12,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,048.46 : 22,147.48 = 8,974.86 : x
  2. Step 2: Convert to fraction form
    16,048.46/22,147.48 = 8,974.86/x
  3. Step 3: Cross multiply
    16,048.46x = 22,147.48 × 8,974.86
  4. Step 4: Simplify right side
    16,048.46x = 198,770,532.35
  5. Step 5: Solve for x
    x = 198,770,532.35/16,048.46
  6. Step 6: Final answer
    x = 12,385.65

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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.