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Finding the Fourth Proportional to 6,323.34, 8,723.39 and 3,803.97

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Solution

The fourth proportional to 6,323.34, 8,723.39 and 3,803.97 is: 5,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.34 : 8,723.39 = 3,803.97 : x
  2. Step 2: Convert to fraction form
    6,323.34/8,723.39 = 3,803.97/x
  3. Step 3: Cross multiply
    6,323.34x = 8,723.39 × 3,803.97
  4. Step 4: Simplify right side
    6,323.34x = 33,183,494.84
  5. Step 5: Solve for x
    x = 33,183,494.84/6,323.34
  6. Step 6: Final answer
    x = 5,247.78

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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.