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Finding the Fourth Proportional to 6,644.88, 9,964.50 and 2,944.50

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Solution

The fourth proportional to 6,644.88, 9,964.50 and 2,944.50 is: 4,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.88 : 9,964.50 = 2,944.50 : x
  2. Step 2: Convert to fraction form
    6,644.88/9,964.50 = 2,944.50/x
  3. Step 3: Cross multiply
    6,644.88x = 9,964.50 × 2,944.50
  4. Step 4: Simplify right side
    6,644.88x = 29,340,470.25
  5. Step 5: Solve for x
    x = 29,340,470.25/6,644.88
  6. Step 6: Final answer
    x = 4,415.50

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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.