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Finding the Fourth Proportional to 6,202.53, 9,303.78 and 1,819.98

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Solution

The fourth proportional to 6,202.53, 9,303.78 and 1,819.98 is: 2,729.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.53 : 9,303.78 = 1,819.98 : x
  2. Step 2: Convert to fraction form
    6,202.53/9,303.78 = 1,819.98/x
  3. Step 3: Cross multiply
    6,202.53x = 9,303.78 × 1,819.98
  4. Step 4: Simplify right side
    6,202.53x = 16,932,693.52
  5. Step 5: Solve for x
    x = 16,932,693.52/6,202.53
  6. Step 6: Final answer
    x = 2,729.97

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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.