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Finding the Fourth Proportional to 19,694, 29,541 and 5,102

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Solution

The fourth proportional to 19,694, 29,541 and 5,102 is: 7,653

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694 : 29,541 = 5,102 : x
  2. Step 2: Convert to fraction form
    19,694/29,541 = 5,102/x
  3. Step 3: Cross multiply
    19,694x = 29,541 × 5,102
  4. Step 4: Simplify right side
    19,694x = 150,718,182
  5. Step 5: Solve for x
    x = 150,718,182/19,694
  6. Step 6: Final answer
    x = 7,653

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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.