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Finding the Fourth Proportional to 6,282.74, 9,425.67 and 1,900.20

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Solution

The fourth proportional to 6,282.74, 9,425.67 and 1,900.20 is: 2,850.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.74 : 9,425.67 = 1,900.20 : x
  2. Step 2: Convert to fraction form
    6,282.74/9,425.67 = 1,900.20/x
  3. Step 3: Cross multiply
    6,282.74x = 9,425.67 × 1,900.20
  4. Step 4: Simplify right side
    6,282.74x = 17,910,620.08
  5. Step 5: Solve for x
    x = 17,910,620.08/6,282.74
  6. Step 6: Final answer
    x = 2,850.77

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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.