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Finding the Fourth Proportional to 6,635.84, 9,956.15 and 3,346.45

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Solution

The fourth proportional to 6,635.84, 9,956.15 and 3,346.45 is: 5,020.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635.84 : 9,956.15 = 3,346.45 : x
  2. Step 2: Convert to fraction form
    6,635.84/9,956.15 = 3,346.45/x
  3. Step 3: Cross multiply
    6,635.84x = 9,956.15 × 3,346.45
  4. Step 4: Simplify right side
    6,635.84x = 33,317,758.17
  5. Step 5: Solve for x
    x = 33,317,758.17/6,635.84
  6. Step 6: Final answer
    x = 5,020.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.