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Finding the Fourth Proportional to 6,467.58, 9,692.10 and 3,688.50

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Solution

The fourth proportional to 6,467.58, 9,692.10 and 3,688.50 is: 5,527.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.58 : 9,692.10 = 3,688.50 : x
  2. Step 2: Convert to fraction form
    6,467.58/9,692.10 = 3,688.50/x
  3. Step 3: Cross multiply
    6,467.58x = 9,692.10 × 3,688.50
  4. Step 4: Simplify right side
    6,467.58x = 35,749,310.85
  5. Step 5: Solve for x
    x = 35,749,310.85/6,467.58
  6. Step 6: Final answer
    x = 5,527.46

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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.