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Finding the Fourth Proportional to 7,476, 11,214 and 2,004

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Solution

The fourth proportional to 7,476, 11,214 and 2,004 is: 3,006

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476 : 11,214 = 2,004 : x
  2. Step 2: Convert to fraction form
    7,476/11,214 = 2,004/x
  3. Step 3: Cross multiply
    7,476x = 11,214 × 2,004
  4. Step 4: Simplify right side
    7,476x = 22,472,856
  5. Step 5: Solve for x
    x = 22,472,856/7,476
  6. Step 6: Final answer
    x = 3,006

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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.