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Finding the Fourth Proportional to 4,963, 7,444.50 and 2,227

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Solution

The fourth proportional to 4,963, 7,444.50 and 2,227 is: 3,340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963 : 7,444.50 = 2,227 : x
  2. Step 2: Convert to fraction form
    4,963/7,444.50 = 2,227/x
  3. Step 3: Cross multiply
    4,963x = 7,444.50 × 2,227
  4. Step 4: Simplify right side
    4,963x = 16,578,901.50
  5. Step 5: Solve for x
    x = 16,578,901.50/4,963
  6. Step 6: Final answer
    x = 3,340.50

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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.