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Finding the Fourth Proportional to 4,147, 6,220.62 and 1,069

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Solution

The fourth proportional to 4,147, 6,220.62 and 1,069 is: 1,603.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147 : 6,220.62 = 1,069 : x
  2. Step 2: Convert to fraction form
    4,147/6,220.62 = 1,069/x
  3. Step 3: Cross multiply
    4,147x = 6,220.62 × 1,069
  4. Step 4: Simplify right side
    4,147x = 6,649,842.78
  5. Step 5: Solve for x
    x = 6,649,842.78/4,147
  6. Step 6: Final answer
    x = 1,603.53

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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.