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Finding the Fourth Proportional to 7,679, 10,593.30 and 6,682.70

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Solution

The fourth proportional to 7,679, 10,593.30 and 6,682.70 is: 9,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679 : 10,593.30 = 6,682.70 : x
  2. Step 2: Convert to fraction form
    7,679/10,593.30 = 6,682.70/x
  3. Step 3: Cross multiply
    7,679x = 10,593.30 × 6,682.70
  4. Step 4: Simplify right side
    7,679x = 70,791,845.91
  5. Step 5: Solve for x
    x = 70,791,845.91/7,679
  6. Step 6: Final answer
    x = 9,218.89

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