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Finding the Fourth Proportional to 6,467.55, 9,687.65 and 3,692.79

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Solution

The fourth proportional to 6,467.55, 9,687.65 and 3,692.79 is: 5,531.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.55 : 9,687.65 = 3,692.79 : x
  2. Step 2: Convert to fraction form
    6,467.55/9,687.65 = 3,692.79/x
  3. Step 3: Cross multiply
    6,467.55x = 9,687.65 × 3,692.79
  4. Step 4: Simplify right side
    6,467.55x = 35,774,459.35
  5. Step 5: Solve for x
    x = 35,774,459.35/6,467.55
  6. Step 6: Final answer
    x = 5,531.38

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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.