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Finding the Fourth Proportional to 8,231, 12,346.50 and 2,075

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Solution

The fourth proportional to 8,231, 12,346.50 and 2,075 is: 3,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231 : 12,346.50 = 2,075 : x
  2. Step 2: Convert to fraction form
    8,231/12,346.50 = 2,075/x
  3. Step 3: Cross multiply
    8,231x = 12,346.50 × 2,075
  4. Step 4: Simplify right side
    8,231x = 25,618,987.50
  5. Step 5: Solve for x
    x = 25,618,987.50/8,231
  6. Step 6: Final answer
    x = 3,112.50

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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.