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Finding the Fourth Proportional to 6,238, 9,349.71 and 3,463.35

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Solution

The fourth proportional to 6,238, 9,349.71 and 3,463.35 is: 5,190.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238 : 9,349.71 = 3,463.35 : x
  2. Step 2: Convert to fraction form
    6,238/9,349.71 = 3,463.35/x
  3. Step 3: Cross multiply
    6,238x = 9,349.71 × 3,463.35
  4. Step 4: Simplify right side
    6,238x = 32,381,318.13
  5. Step 5: Solve for x
    x = 32,381,318.13/6,238
  6. Step 6: Final answer
    x = 5,190.98

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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.