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Finding the Fourth Proportional to 8,532.74, 11,778.84 and 5,739.86

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Solution

The fourth proportional to 8,532.74, 11,778.84 and 5,739.86 is: 7,923.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.74 : 11,778.84 = 5,739.86 : x
  2. Step 2: Convert to fraction form
    8,532.74/11,778.84 = 5,739.86/x
  3. Step 3: Cross multiply
    8,532.74x = 11,778.84 × 5,739.86
  4. Step 4: Simplify right side
    8,532.74x = 67,608,892.56
  5. Step 5: Solve for x
    x = 67,608,892.56/8,532.74
  6. Step 6: Final answer
    x = 7,923.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.