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Finding the Fourth Proportional to 6,510.38, 9,764.22 and 3,739.64

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Solution

The fourth proportional to 6,510.38, 9,764.22 and 3,739.64 is: 5,608.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.38 : 9,764.22 = 3,739.64 : x
  2. Step 2: Convert to fraction form
    6,510.38/9,764.22 = 3,739.64/x
  3. Step 3: Cross multiply
    6,510.38x = 9,764.22 × 3,739.64
  4. Step 4: Simplify right side
    6,510.38x = 36,514,667.68
  5. Step 5: Solve for x
    x = 36,514,667.68/6,510.38
  6. Step 6: Final answer
    x = 5,608.68

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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.