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Finding the Fourth Proportional to 14,799, 22,198.50 and 3,855

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Solution

The fourth proportional to 14,799, 22,198.50 and 3,855 is: 5,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,799 : 22,198.50 = 3,855 : x
  2. Step 2: Convert to fraction form
    14,799/22,198.50 = 3,855/x
  3. Step 3: Cross multiply
    14,799x = 22,198.50 × 3,855
  4. Step 4: Simplify right side
    14,799x = 85,575,217.50
  5. Step 5: Solve for x
    x = 85,575,217.50/14,799
  6. Step 6: Final answer
    x = 5,782.50

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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.