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Finding the Fourth Proportional to 6,654.66, 9,984.33 and 2,956.56

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Solution

The fourth proportional to 6,654.66, 9,984.33 and 2,956.56 is: 4,435.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.66 : 9,984.33 = 2,956.56 : x
  2. Step 2: Convert to fraction form
    6,654.66/9,984.33 = 2,956.56/x
  3. Step 3: Cross multiply
    6,654.66x = 9,984.33 × 2,956.56
  4. Step 4: Simplify right side
    6,654.66x = 29,519,270.70
  5. Step 5: Solve for x
    x = 29,519,270.70/6,654.66
  6. Step 6: Final answer
    x = 4,435.88

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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.