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Finding the Fourth Proportional to 8,673, 13,009.50 and 2,517

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Solution

The fourth proportional to 8,673, 13,009.50 and 2,517 is: 3,775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,673 : 13,009.50 = 2,517 : x
  2. Step 2: Convert to fraction form
    8,673/13,009.50 = 2,517/x
  3. Step 3: Cross multiply
    8,673x = 13,009.50 × 2,517
  4. Step 4: Simplify right side
    8,673x = 32,744,911.50
  5. Step 5: Solve for x
    x = 32,744,911.50/8,673
  6. Step 6: Final answer
    x = 3,775.50

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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.