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Finding the Fourth Proportional to 6,463.87, 9,692.72 and 2,952.83

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Solution

The fourth proportional to 6,463.87, 9,692.72 and 2,952.83 is: 4,427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.87 : 9,692.72 = 2,952.83 : x
  2. Step 2: Convert to fraction form
    6,463.87/9,692.72 = 2,952.83/x
  3. Step 3: Cross multiply
    6,463.87x = 9,692.72 × 2,952.83
  4. Step 4: Simplify right side
    6,463.87x = 28,621,009.77
  5. Step 5: Solve for x
    x = 28,621,009.77/6,463.87
  6. Step 6: Final answer
    x = 4,427.85

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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.