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Finding the Fourth Proportional to 6,832.56, 9,422.48 and 6,323.48

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Solution

The fourth proportional to 6,832.56, 9,422.48 and 6,323.48 is: 8,720.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.56 : 9,422.48 = 6,323.48 : x
  2. Step 2: Convert to fraction form
    6,832.56/9,422.48 = 6,323.48/x
  3. Step 3: Cross multiply
    6,832.56x = 9,422.48 × 6,323.48
  4. Step 4: Simplify right side
    6,832.56x = 59,582,863.83
  5. Step 5: Solve for x
    x = 59,582,863.83/6,832.56
  6. Step 6: Final answer
    x = 8,720.43

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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.