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Finding the Fourth Proportional to 4,774.88, 7,163.57 and 1,964.59

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Solution

The fourth proportional to 4,774.88, 7,163.57 and 1,964.59 is: 2,947.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.88 : 7,163.57 = 1,964.59 : x
  2. Step 2: Convert to fraction form
    4,774.88/7,163.57 = 1,964.59/x
  3. Step 3: Cross multiply
    4,774.88x = 7,163.57 × 1,964.59
  4. Step 4: Simplify right side
    4,774.88x = 14,073,464.99
  5. Step 5: Solve for x
    x = 14,073,464.99/4,774.88
  6. Step 6: Final answer
    x = 2,947.40

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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.