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Finding the Fourth Proportional to 6,233.67, 9,352.53 and 4,162.10

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Solution

The fourth proportional to 6,233.67, 9,352.53 and 4,162.10 is: 6,244.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.67 : 9,352.53 = 4,162.10 : x
  2. Step 2: Convert to fraction form
    6,233.67/9,352.53 = 4,162.10/x
  3. Step 3: Cross multiply
    6,233.67x = 9,352.53 × 4,162.10
  4. Step 4: Simplify right side
    6,233.67x = 38,926,118.35
  5. Step 5: Solve for x
    x = 38,926,118.35/6,233.67
  6. Step 6: Final answer
    x = 6,244.49

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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.