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Finding the Fourth Proportional to 10,669, 16,003.50 and 3,373

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Solution

The fourth proportional to 10,669, 16,003.50 and 3,373 is: 5,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669 : 16,003.50 = 3,373 : x
  2. Step 2: Convert to fraction form
    10,669/16,003.50 = 3,373/x
  3. Step 3: Cross multiply
    10,669x = 16,003.50 × 3,373
  4. Step 4: Simplify right side
    10,669x = 53,979,805.50
  5. Step 5: Solve for x
    x = 53,979,805.50/10,669
  6. Step 6: Final answer
    x = 5,059.50

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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.