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Finding the Fourth Proportional to 6,178, 9,267 and 2,282.41

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Solution

The fourth proportional to 6,178, 9,267 and 2,282.41 is: 3,423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178 : 9,267 = 2,282.41 : x
  2. Step 2: Convert to fraction form
    6,178/9,267 = 2,282.41/x
  3. Step 3: Cross multiply
    6,178x = 9,267 × 2,282.41
  4. Step 4: Simplify right side
    6,178x = 21,151,093.47
  5. Step 5: Solve for x
    x = 21,151,093.47/6,178
  6. Step 6: Final answer
    x = 3,423.62

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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.