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Finding the Fourth Proportional to 6,224.43, 8,589 and 3,571.77

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Solution

The fourth proportional to 6,224.43, 8,589 and 3,571.77 is: 4,928.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.43 : 8,589 = 3,571.77 : x
  2. Step 2: Convert to fraction form
    6,224.43/8,589 = 3,571.77/x
  3. Step 3: Cross multiply
    6,224.43x = 8,589 × 3,571.77
  4. Step 4: Simplify right side
    6,224.43x = 30,677,932.53
  5. Step 5: Solve for x
    x = 30,677,932.53/6,224.43
  6. Step 6: Final answer
    x = 4,928.63

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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.