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Finding the Fourth Proportional to 16,582.20, 24,879.78 and 6,194.76

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Solution

The fourth proportional to 16,582.20, 24,879.78 and 6,194.76 is: 9,294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.20 : 24,879.78 = 6,194.76 : x
  2. Step 2: Convert to fraction form
    16,582.20/24,879.78 = 6,194.76/x
  3. Step 3: Cross multiply
    16,582.20x = 24,879.78 × 6,194.76
  4. Step 4: Simplify right side
    16,582.20x = 154,124,265.95
  5. Step 5: Solve for x
    x = 154,124,265.95/16,582.20
  6. Step 6: Final answer
    x = 9,294.56

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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.