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Finding the Fourth Proportional to 6,615.47, 9,923.20 and 1,998.47

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Solution

The fourth proportional to 6,615.47, 9,923.20 and 1,998.47 is: 2,997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.47 : 9,923.20 = 1,998.47 : x
  2. Step 2: Convert to fraction form
    6,615.47/9,923.20 = 1,998.47/x
  3. Step 3: Cross multiply
    6,615.47x = 9,923.20 × 1,998.47
  4. Step 4: Simplify right side
    6,615.47x = 19,831,217.50
  5. Step 5: Solve for x
    x = 19,831,217.50/6,615.47
  6. Step 6: Final answer
    x = 2,997.70

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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.