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Finding the Fourth Proportional to 6,227, 9,341.98 and 2,123

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Solution

The fourth proportional to 6,227, 9,341.98 and 2,123 is: 3,185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227 : 9,341.98 = 2,123 : x
  2. Step 2: Convert to fraction form
    6,227/9,341.98 = 2,123/x
  3. Step 3: Cross multiply
    6,227x = 9,341.98 × 2,123
  4. Step 4: Simplify right side
    6,227x = 19,833,023.54
  5. Step 5: Solve for x
    x = 19,833,023.54/6,227
  6. Step 6: Final answer
    x = 3,185.00

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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.