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Finding the Fourth Proportional to 6,451.34, 9,667.68 and 2,751.52

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Solution

The fourth proportional to 6,451.34, 9,667.68 and 2,751.52 is: 4,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.34 : 9,667.68 = 2,751.52 : x
  2. Step 2: Convert to fraction form
    6,451.34/9,667.68 = 2,751.52/x
  3. Step 3: Cross multiply
    6,451.34x = 9,667.68 × 2,751.52
  4. Step 4: Simplify right side
    6,451.34x = 26,600,814.87
  5. Step 5: Solve for x
    x = 26,600,814.87/6,451.34
  6. Step 6: Final answer
    x = 4,123.30

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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.