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Finding the Fourth Proportional to 6,262, 9,394.44 and 2,158

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Solution

The fourth proportional to 6,262, 9,394.44 and 2,158 is: 3,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262 : 9,394.44 = 2,158 : x
  2. Step 2: Convert to fraction form
    6,262/9,394.44 = 2,158/x
  3. Step 3: Cross multiply
    6,262x = 9,394.44 × 2,158
  4. Step 4: Simplify right side
    6,262x = 20,273,201.52
  5. Step 5: Solve for x
    x = 20,273,201.52/6,262
  6. Step 6: Final answer
    x = 3,237.50

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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.