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Finding the Fourth Proportional to 6,463.54, 9,687.80 and 3,692.16

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Solution

The fourth proportional to 6,463.54, 9,687.80 and 3,692.16 is: 5,533.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.54 : 9,687.80 = 3,692.16 : x
  2. Step 2: Convert to fraction form
    6,463.54/9,687.80 = 3,692.16/x
  3. Step 3: Cross multiply
    6,463.54x = 9,687.80 × 3,692.16
  4. Step 4: Simplify right side
    6,463.54x = 35,768,916.88
  5. Step 5: Solve for x
    x = 35,768,916.88/6,463.54
  6. Step 6: Final answer
    x = 5,533.95

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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.