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Finding the Fourth Proportional to 6,617, 9,927.12 and 2,000

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Solution

The fourth proportional to 6,617, 9,927.12 and 2,000 is: 3,000.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617 : 9,927.12 = 2,000 : x
  2. Step 2: Convert to fraction form
    6,617/9,927.12 = 2,000/x
  3. Step 3: Cross multiply
    6,617x = 9,927.12 × 2,000
  4. Step 4: Simplify right side
    6,617x = 19,854,240
  5. Step 5: Solve for x
    x = 19,854,240/6,617
  6. Step 6: Final answer
    x = 3,000.49

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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.