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Finding the Fourth Proportional to 6,170.50, 9,254.72 and 2,220.96

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Solution

The fourth proportional to 6,170.50, 9,254.72 and 2,220.96 is: 3,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.50 : 9,254.72 = 2,220.96 : x
  2. Step 2: Convert to fraction form
    6,170.50/9,254.72 = 2,220.96/x
  3. Step 3: Cross multiply
    6,170.50x = 9,254.72 × 2,220.96
  4. Step 4: Simplify right side
    6,170.50x = 20,554,362.93
  5. Step 5: Solve for x
    x = 20,554,362.93/6,170.50
  6. Step 6: Final answer
    x = 3,331.07

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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.