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Finding the Fourth Proportional to 6,343.22, 9,525.71 and 3,892.43

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Solution

The fourth proportional to 6,343.22, 9,525.71 and 3,892.43 is: 5,845.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.22 : 9,525.71 = 3,892.43 : x
  2. Step 2: Convert to fraction form
    6,343.22/9,525.71 = 3,892.43/x
  3. Step 3: Cross multiply
    6,343.22x = 9,525.71 × 3,892.43
  4. Step 4: Simplify right side
    6,343.22x = 37,078,121.48
  5. Step 5: Solve for x
    x = 37,078,121.48/6,343.22
  6. Step 6: Final answer
    x = 5,845.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.