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Finding the Fourth Proportional to 6,519.31, 9,778.95 and 1,839.31

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Solution

The fourth proportional to 6,519.31, 9,778.95 and 1,839.31 is: 2,758.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.31 : 9,778.95 = 1,839.31 : x
  2. Step 2: Convert to fraction form
    6,519.31/9,778.95 = 1,839.31/x
  3. Step 3: Cross multiply
    6,519.31x = 9,778.95 × 1,839.31
  4. Step 4: Simplify right side
    6,519.31x = 17,986,496.08
  5. Step 5: Solve for x
    x = 17,986,496.08/6,519.31
  6. Step 6: Final answer
    x = 2,758.96

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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.