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Finding the Fourth Proportional to 12,172, 16,797.36 and 6,583

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Solution

The fourth proportional to 12,172, 16,797.36 and 6,583 is: 9,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172 : 16,797.36 = 6,583 : x
  2. Step 2: Convert to fraction form
    12,172/16,797.36 = 6,583/x
  3. Step 3: Cross multiply
    12,172x = 16,797.36 × 6,583
  4. Step 4: Simplify right side
    12,172x = 110,577,020.88
  5. Step 5: Solve for x
    x = 110,577,020.88/12,172
  6. Step 6: Final answer
    x = 9,084.54

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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.