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Finding the Fourth Proportional to 5,293.96, 7,934.14 and 2,170.22

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Solution

The fourth proportional to 5,293.96, 7,934.14 and 2,170.22 is: 3,252.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.96 : 7,934.14 = 2,170.22 : x
  2. Step 2: Convert to fraction form
    5,293.96/7,934.14 = 2,170.22/x
  3. Step 3: Cross multiply
    5,293.96x = 7,934.14 × 2,170.22
  4. Step 4: Simplify right side
    5,293.96x = 17,218,811.62
  5. Step 5: Solve for x
    x = 17,218,811.62/5,293.96
  6. Step 6: Final answer
    x = 3,252.54

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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.