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Finding the Fourth Proportional to 5,170.74, 7,756.63 and 1,659.87

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Solution

The fourth proportional to 5,170.74, 7,756.63 and 1,659.87 is: 2,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.74 : 7,756.63 = 1,659.87 : x
  2. Step 2: Convert to fraction form
    5,170.74/7,756.63 = 1,659.87/x
  3. Step 3: Cross multiply
    5,170.74x = 7,756.63 × 1,659.87
  4. Step 4: Simplify right side
    5,170.74x = 12,874,997.44
  5. Step 5: Solve for x
    x = 12,874,997.44/5,170.74
  6. Step 6: Final answer
    x = 2,489.97

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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.