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Finding the Fourth Proportional to 6,633.12, 9,150.66 and 3,837

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Solution

The fourth proportional to 6,633.12, 9,150.66 and 3,837 is: 5,293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.12 : 9,150.66 = 3,837 : x
  2. Step 2: Convert to fraction form
    6,633.12/9,150.66 = 3,837/x
  3. Step 3: Cross multiply
    6,633.12x = 9,150.66 × 3,837
  4. Step 4: Simplify right side
    6,633.12x = 35,111,082.42
  5. Step 5: Solve for x
    x = 35,111,082.42/6,633.12
  6. Step 6: Final answer
    x = 5,293.30

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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.