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Finding the Fourth Proportional to 6,194.88, 8,553.12 and 4,102.56

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Solution

The fourth proportional to 6,194.88, 8,553.12 and 4,102.56 is: 5,664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.88 : 8,553.12 = 4,102.56 : x
  2. Step 2: Convert to fraction form
    6,194.88/8,553.12 = 4,102.56/x
  3. Step 3: Cross multiply
    6,194.88x = 8,553.12 × 4,102.56
  4. Step 4: Simplify right side
    6,194.88x = 35,089,687.99
  5. Step 5: Solve for x
    x = 35,089,687.99/6,194.88
  6. Step 6: Final answer
    x = 5,664.30

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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.