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Finding the Fourth Proportional to 6,810, 10,214.38 and 3,525.85

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Solution

The fourth proportional to 6,810, 10,214.38 and 3,525.85 is: 5,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810 : 10,214.38 = 3,525.85 : x
  2. Step 2: Convert to fraction form
    6,810/10,214.38 = 3,525.85/x
  3. Step 3: Cross multiply
    6,810x = 10,214.38 × 3,525.85
  4. Step 4: Simplify right side
    6,810x = 36,014,371.72
  5. Step 5: Solve for x
    x = 36,014,371.72/6,810
  6. Step 6: Final answer
    x = 5,288.45

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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.