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Finding the Fourth Proportional to 6,133.62, 8,463.39 and 5,822.28

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Solution

The fourth proportional to 6,133.62, 8,463.39 and 5,822.28 is: 8,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.62 : 8,463.39 = 5,822.28 : x
  2. Step 2: Convert to fraction form
    6,133.62/8,463.39 = 5,822.28/x
  3. Step 3: Cross multiply
    6,133.62x = 8,463.39 × 5,822.28
  4. Step 4: Simplify right side
    6,133.62x = 49,276,204.50
  5. Step 5: Solve for x
    x = 49,276,204.50/6,133.62
  6. Step 6: Final answer
    x = 8,033.78

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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.