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Finding the Fourth Proportional to 9,847, 14,770.50 and 2,921.50

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Solution

The fourth proportional to 9,847, 14,770.50 and 2,921.50 is: 4,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847 : 14,770.50 = 2,921.50 : x
  2. Step 2: Convert to fraction form
    9,847/14,770.50 = 2,921.50/x
  3. Step 3: Cross multiply
    9,847x = 14,770.50 × 2,921.50
  4. Step 4: Simplify right side
    9,847x = 43,152,015.75
  5. Step 5: Solve for x
    x = 43,152,015.75/9,847
  6. Step 6: Final answer
    x = 4,382.25

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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.