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Finding the Fourth Proportional to 19,366, 29,049 and 4,774

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Solution

The fourth proportional to 19,366, 29,049 and 4,774 is: 7,161

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,366 : 29,049 = 4,774 : x
  2. Step 2: Convert to fraction form
    19,366/29,049 = 4,774/x
  3. Step 3: Cross multiply
    19,366x = 29,049 × 4,774
  4. Step 4: Simplify right side
    19,366x = 138,679,926
  5. Step 5: Solve for x
    x = 138,679,926/19,366
  6. Step 6: Final answer
    x = 7,161

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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.