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Finding the Fourth Proportional to 4,663, 6,997.25 and 2,065.96

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Solution

The fourth proportional to 4,663, 6,997.25 and 2,065.96 is: 3,100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663 : 6,997.25 = 2,065.96 : x
  2. Step 2: Convert to fraction form
    4,663/6,997.25 = 2,065.96/x
  3. Step 3: Cross multiply
    4,663x = 6,997.25 × 2,065.96
  4. Step 4: Simplify right side
    4,663x = 14,456,038.61
  5. Step 5: Solve for x
    x = 14,456,038.61/4,663
  6. Step 6: Final answer
    x = 3,100.16

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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.