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Finding the Fourth Proportional to 4,663.17, 6,997.19 and 2,065.50

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Solution

The fourth proportional to 4,663.17, 6,997.19 and 2,065.50 is: 3,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.17 : 6,997.19 = 2,065.50 : x
  2. Step 2: Convert to fraction form
    4,663.17/6,997.19 = 2,065.50/x
  3. Step 3: Cross multiply
    4,663.17x = 6,997.19 × 2,065.50
  4. Step 4: Simplify right side
    4,663.17x = 14,452,685.62
  5. Step 5: Solve for x
    x = 14,452,685.62/4,663.17
  6. Step 6: Final answer
    x = 3,099.33

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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.