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Finding the Fourth Proportional to 6,534.42, 9,800.34 and 2,151.24

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Solution

The fourth proportional to 6,534.42, 9,800.34 and 2,151.24 is: 3,226.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.42 : 9,800.34 = 2,151.24 : x
  2. Step 2: Convert to fraction form
    6,534.42/9,800.34 = 2,151.24/x
  3. Step 3: Cross multiply
    6,534.42x = 9,800.34 × 2,151.24
  4. Step 4: Simplify right side
    6,534.42x = 21,082,883.42
  5. Step 5: Solve for x
    x = 21,082,883.42/6,534.42
  6. Step 6: Final answer
    x = 3,226.44

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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.