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Finding the Fourth Proportional to 6,212.86, 8,571.90 and 3,693.70

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Solution

The fourth proportional to 6,212.86, 8,571.90 and 3,693.70 is: 5,096.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.86 : 8,571.90 = 3,693.70 : x
  2. Step 2: Convert to fraction form
    6,212.86/8,571.90 = 3,693.70/x
  3. Step 3: Cross multiply
    6,212.86x = 8,571.90 × 3,693.70
  4. Step 4: Simplify right side
    6,212.86x = 31,662,027.03
  5. Step 5: Solve for x
    x = 31,662,027.03/6,212.86
  6. Step 6: Final answer
    x = 5,096.21

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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.