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Finding the Fourth Proportional to 6,767, 10,152.81 and 3,647.33

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Solution

The fourth proportional to 6,767, 10,152.81 and 3,647.33 is: 5,472.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767 : 10,152.81 = 3,647.33 : x
  2. Step 2: Convert to fraction form
    6,767/10,152.81 = 3,647.33/x
  3. Step 3: Cross multiply
    6,767x = 10,152.81 × 3,647.33
  4. Step 4: Simplify right side
    6,767x = 37,030,648.50
  5. Step 5: Solve for x
    x = 37,030,648.50/6,767
  6. Step 6: Final answer
    x = 5,472.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.