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Finding the Fourth Proportional to 6,650, 9,975 and 2,033

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Solution

The fourth proportional to 6,650, 9,975 and 2,033 is: 3,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650 : 9,975 = 2,033 : x
  2. Step 2: Convert to fraction form
    6,650/9,975 = 2,033/x
  3. Step 3: Cross multiply
    6,650x = 9,975 × 2,033
  4. Step 4: Simplify right side
    6,650x = 20,279,175
  5. Step 5: Solve for x
    x = 20,279,175/6,650
  6. Step 6: Final answer
    x = 3,049.50

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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.