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Finding the Fourth Proportional to 14,641, 21,961.50 and 4,252.84

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Solution

The fourth proportional to 14,641, 21,961.50 and 4,252.84 is: 6,379.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641 : 21,961.50 = 4,252.84 : x
  2. Step 2: Convert to fraction form
    14,641/21,961.50 = 4,252.84/x
  3. Step 3: Cross multiply
    14,641x = 21,961.50 × 4,252.84
  4. Step 4: Simplify right side
    14,641x = 93,398,745.66
  5. Step 5: Solve for x
    x = 93,398,745.66/14,641
  6. Step 6: Final answer
    x = 6,379.26

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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.