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Finding the Fourth Proportional to 6,652.66, 9,180.69 and 3,668.50

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Solution

The fourth proportional to 6,652.66, 9,180.69 and 3,668.50 is: 5,062.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.66 : 9,180.69 = 3,668.50 : x
  2. Step 2: Convert to fraction form
    6,652.66/9,180.69 = 3,668.50/x
  3. Step 3: Cross multiply
    6,652.66x = 9,180.69 × 3,668.50
  4. Step 4: Simplify right side
    6,652.66x = 33,679,361.27
  5. Step 5: Solve for x
    x = 33,679,361.27/6,652.66
  6. Step 6: Final answer
    x = 5,062.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.