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Finding the Fourth Proportional to 6,508.98, 9,739.08 and 3,866.85

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Solution

The fourth proportional to 6,508.98, 9,739.08 and 3,866.85 is: 5,785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.98 : 9,739.08 = 3,866.85 : x
  2. Step 2: Convert to fraction form
    6,508.98/9,739.08 = 3,866.85/x
  3. Step 3: Cross multiply
    6,508.98x = 9,739.08 × 3,866.85
  4. Step 4: Simplify right side
    6,508.98x = 37,659,561.50
  5. Step 5: Solve for x
    x = 37,659,561.50/6,508.98
  6. Step 6: Final answer
    x = 5,785.79

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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.