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Finding the Fourth Proportional to 6,144.80, 8,523.28 and 5,923.44

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Solution

The fourth proportional to 6,144.80, 8,523.28 and 5,923.44 is: 8,216.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.80 : 8,523.28 = 5,923.44 : x
  2. Step 2: Convert to fraction form
    6,144.80/8,523.28 = 5,923.44/x
  3. Step 3: Cross multiply
    6,144.80x = 8,523.28 × 5,923.44
  4. Step 4: Simplify right side
    6,144.80x = 50,487,137.68
  5. Step 5: Solve for x
    x = 50,487,137.68/6,144.80
  6. Step 6: Final answer
    x = 8,216.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.