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Finding the Fourth Proportional to 12,848, 19,272 and 3,614

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Solution

The fourth proportional to 12,848, 19,272 and 3,614 is: 5,421

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,848 : 19,272 = 3,614 : x
  2. Step 2: Convert to fraction form
    12,848/19,272 = 3,614/x
  3. Step 3: Cross multiply
    12,848x = 19,272 × 3,614
  4. Step 4: Simplify right side
    12,848x = 69,649,008
  5. Step 5: Solve for x
    x = 69,649,008/12,848
  6. Step 6: Final answer
    x = 5,421

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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.