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Finding the Fourth Proportional to 6,414, 9,593.21 and 3,775.22

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Solution

The fourth proportional to 6,414, 9,593.21 and 3,775.22 is: 5,646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414 : 9,593.21 = 3,775.22 : x
  2. Step 2: Convert to fraction form
    6,414/9,593.21 = 3,775.22/x
  3. Step 3: Cross multiply
    6,414x = 9,593.21 × 3,775.22
  4. Step 4: Simplify right side
    6,414x = 36,216,411.41
  5. Step 5: Solve for x
    x = 36,216,411.41/6,414
  6. Step 6: Final answer
    x = 5,646.46

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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.