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Finding the Fourth Proportional to 6,657.68, 9,984.08 and 2,273.96

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Solution

The fourth proportional to 6,657.68, 9,984.08 and 2,273.96 is: 3,410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.68 : 9,984.08 = 2,273.96 : x
  2. Step 2: Convert to fraction form
    6,657.68/9,984.08 = 2,273.96/x
  3. Step 3: Cross multiply
    6,657.68x = 9,984.08 × 2,273.96
  4. Step 4: Simplify right side
    6,657.68x = 22,703,398.56
  5. Step 5: Solve for x
    x = 22,703,398.56/6,657.68
  6. Step 6: Final answer
    x = 3,410.11

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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.