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Finding the Fourth Proportional to 6,202.46, 9,303.86 and 1,819.92

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Solution

The fourth proportional to 6,202.46, 9,303.86 and 1,819.92 is: 2,729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.46 : 9,303.86 = 1,819.92 : x
  2. Step 2: Convert to fraction form
    6,202.46/9,303.86 = 1,819.92/x
  3. Step 3: Cross multiply
    6,202.46x = 9,303.86 × 1,819.92
  4. Step 4: Simplify right side
    6,202.46x = 16,932,280.89
  5. Step 5: Solve for x
    x = 16,932,280.89/6,202.46
  6. Step 6: Final answer
    x = 2,729.93

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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.