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Finding the Fourth Proportional to 9,967, 14,912.88 and 5,949.50

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Solution

The fourth proportional to 9,967, 14,912.88 and 5,949.50 is: 8,901.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967 : 14,912.88 = 5,949.50 : x
  2. Step 2: Convert to fraction form
    9,967/14,912.88 = 5,949.50/x
  3. Step 3: Cross multiply
    9,967x = 14,912.88 × 5,949.50
  4. Step 4: Simplify right side
    9,967x = 88,724,179.56
  5. Step 5: Solve for x
    x = 88,724,179.56/9,967
  6. Step 6: Final answer
    x = 8,901.79

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1.5x scale

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.