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Finding the Fourth Proportional to 7,270.74, 10,906.18 and 4,675.50

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Solution

The fourth proportional to 7,270.74, 10,906.18 and 4,675.50 is: 7,013.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270.74 : 10,906.18 = 4,675.50 : x
  2. Step 2: Convert to fraction form
    7,270.74/10,906.18 = 4,675.50/x
  3. Step 3: Cross multiply
    7,270.74x = 10,906.18 × 4,675.50
  4. Step 4: Simplify right side
    7,270.74x = 50,991,832.90
  5. Step 5: Solve for x
    x = 50,991,832.90/7,270.74
  6. Step 6: Final answer
    x = 7,013.29

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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.