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Finding the Fourth Proportional to 4,151, 6,226.62 and 1,073

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Solution

The fourth proportional to 4,151, 6,226.62 and 1,073 is: 1,609.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151 : 6,226.62 = 1,073 : x
  2. Step 2: Convert to fraction form
    4,151/6,226.62 = 1,073/x
  3. Step 3: Cross multiply
    4,151x = 6,226.62 × 1,073
  4. Step 4: Simplify right side
    4,151x = 6,681,163.26
  5. Step 5: Solve for x
    x = 6,681,163.26/4,151
  6. Step 6: Final answer
    x = 1,609.53

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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.