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Finding the Fourth Proportional to 6,199.70, 9,293.27 and 3,722.92

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Solution

The fourth proportional to 6,199.70, 9,293.27 and 3,722.92 is: 5,580.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.70 : 9,293.27 = 3,722.92 : x
  2. Step 2: Convert to fraction form
    6,199.70/9,293.27 = 3,722.92/x
  3. Step 3: Cross multiply
    6,199.70x = 9,293.27 × 3,722.92
  4. Step 4: Simplify right side
    6,199.70x = 34,598,100.75
  5. Step 5: Solve for x
    x = 34,598,100.75/6,199.70
  6. Step 6: Final answer
    x = 5,580.61

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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.