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Finding the Fourth Proportional to 10,222.86, 15,333.86 and 3,202.73

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Solution

The fourth proportional to 10,222.86, 15,333.86 and 3,202.73 is: 4,803.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.86 : 15,333.86 = 3,202.73 : x
  2. Step 2: Convert to fraction form
    10,222.86/15,333.86 = 3,202.73/x
  3. Step 3: Cross multiply
    10,222.86x = 15,333.86 × 3,202.73
  4. Step 4: Simplify right side
    10,222.86x = 49,110,120.75
  5. Step 5: Solve for x
    x = 49,110,120.75/10,222.86
  6. Step 6: Final answer
    x = 4,803.95

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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.