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Finding the Fourth Proportional to 6,717, 9,269.63 and 3,692.08

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Solution

The fourth proportional to 6,717, 9,269.63 and 3,692.08 is: 5,095.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,717 : 9,269.63 = 3,692.08 : x
  2. Step 2: Convert to fraction form
    6,717/9,269.63 = 3,692.08/x
  3. Step 3: Cross multiply
    6,717x = 9,269.63 × 3,692.08
  4. Step 4: Simplify right side
    6,717x = 34,224,215.53
  5. Step 5: Solve for x
    x = 34,224,215.53/6,717
  6. Step 6: Final answer
    x = 5,095.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.