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Finding the Fourth Proportional to 6,282.89, 9,424.23 and 1,900.38

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Solution

The fourth proportional to 6,282.89, 9,424.23 and 1,900.38 is: 2,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.89 : 9,424.23 = 1,900.38 : x
  2. Step 2: Convert to fraction form
    6,282.89/9,424.23 = 1,900.38/x
  3. Step 3: Cross multiply
    6,282.89x = 9,424.23 × 1,900.38
  4. Step 4: Simplify right side
    6,282.89x = 17,909,618.21
  5. Step 5: Solve for x
    x = 17,909,618.21/6,282.89
  6. Step 6: Final answer
    x = 2,850.54

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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.