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Finding the Fourth Proportional to 12,675, 19,012.50 and 4,467

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Solution

The fourth proportional to 12,675, 19,012.50 and 4,467 is: 6,700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675 : 19,012.50 = 4,467 : x
  2. Step 2: Convert to fraction form
    12,675/19,012.50 = 4,467/x
  3. Step 3: Cross multiply
    12,675x = 19,012.50 × 4,467
  4. Step 4: Simplify right side
    12,675x = 84,928,837.50
  5. Step 5: Solve for x
    x = 84,928,837.50/12,675
  6. Step 6: Final answer
    x = 6,700.50

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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.