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Finding the Fourth Proportional to 6,392.43, 9,594.38 and 3,274.58

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Solution

The fourth proportional to 6,392.43, 9,594.38 and 3,274.58 is: 4,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.43 : 9,594.38 = 3,274.58 : x
  2. Step 2: Convert to fraction form
    6,392.43/9,594.38 = 3,274.58/x
  3. Step 3: Cross multiply
    6,392.43x = 9,594.38 × 3,274.58
  4. Step 4: Simplify right side
    6,392.43x = 31,417,500.52
  5. Step 5: Solve for x
    x = 31,417,500.52/6,392.43
  6. Step 6: Final answer
    x = 4,914.80

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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.