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Finding the Fourth Proportional to 6,338.43, 9,502.51 and 2,643.42

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Solution

The fourth proportional to 6,338.43, 9,502.51 and 2,643.42 is: 3,962.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.43 : 9,502.51 = 2,643.42 : x
  2. Step 2: Convert to fraction form
    6,338.43/9,502.51 = 2,643.42/x
  3. Step 3: Cross multiply
    6,338.43x = 9,502.51 × 2,643.42
  4. Step 4: Simplify right side
    6,338.43x = 25,119,124.98
  5. Step 5: Solve for x
    x = 25,119,124.98/6,338.43
  6. Step 6: Final answer
    x = 3,962.99

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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.