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Finding the Fourth Proportional to 10,947.80, 16,404.90 and 8,161.40

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Solution

The fourth proportional to 10,947.80, 16,404.90 and 8,161.40 is: 12,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.80 : 16,404.90 = 8,161.40 : x
  2. Step 2: Convert to fraction form
    10,947.80/16,404.90 = 8,161.40/x
  3. Step 3: Cross multiply
    10,947.80x = 16,404.90 × 8,161.40
  4. Step 4: Simplify right side
    10,947.80x = 133,886,950.86
  5. Step 5: Solve for x
    x = 133,886,950.86/10,947.80
  6. Step 6: Final answer
    x = 12,229.58

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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.