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Finding the Fourth Proportional to 4,944.74, 7,415.82 and 1,433.92

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Solution

The fourth proportional to 4,944.74, 7,415.82 and 1,433.92 is: 2,150.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.74 : 7,415.82 = 1,433.92 : x
  2. Step 2: Convert to fraction form
    4,944.74/7,415.82 = 1,433.92/x
  3. Step 3: Cross multiply
    4,944.74x = 7,415.82 × 1,433.92
  4. Step 4: Simplify right side
    4,944.74x = 10,633,692.61
  5. Step 5: Solve for x
    x = 10,633,692.61/4,944.74
  6. Step 6: Final answer
    x = 2,150.51

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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.