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Finding the Fourth Proportional to 6,496.24, 8,967.20 and 3,844.56

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Solution

The fourth proportional to 6,496.24, 8,967.20 and 3,844.56 is: 5,306.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.24 : 8,967.20 = 3,844.56 : x
  2. Step 2: Convert to fraction form
    6,496.24/8,967.20 = 3,844.56/x
  3. Step 3: Cross multiply
    6,496.24x = 8,967.20 × 3,844.56
  4. Step 4: Simplify right side
    6,496.24x = 34,474,938.43
  5. Step 5: Solve for x
    x = 34,474,938.43/6,496.24
  6. Step 6: Final answer
    x = 5,306.91

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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.