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Finding the Fourth Proportional to 4,734.67, 7,105.67 and 3,812.49

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Solution

The fourth proportional to 4,734.67, 7,105.67 and 3,812.49 is: 5,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.67 : 7,105.67 = 3,812.49 : x
  2. Step 2: Convert to fraction form
    4,734.67/7,105.67 = 3,812.49/x
  3. Step 3: Cross multiply
    4,734.67x = 7,105.67 × 3,812.49
  4. Step 4: Simplify right side
    4,734.67x = 27,090,269.82
  5. Step 5: Solve for x
    x = 27,090,269.82/4,734.67
  6. Step 6: Final answer
    x = 5,721.68

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1.5x scale

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.