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Finding the Fourth Proportional to 6,003.66, 9,004.46 and 2,716

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Solution

The fourth proportional to 6,003.66, 9,004.46 and 2,716 is: 4,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,003.66 : 9,004.46 = 2,716 : x
  2. Step 2: Convert to fraction form
    6,003.66/9,004.46 = 2,716/x
  3. Step 3: Cross multiply
    6,003.66x = 9,004.46 × 2,716
  4. Step 4: Simplify right side
    6,003.66x = 24,456,113.36
  5. Step 5: Solve for x
    x = 24,456,113.36/6,003.66
  6. Step 6: Final answer
    x = 4,073.53

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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.