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Finding the Fourth Proportional to 6,063.82, 9,093 and 1,902.86

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Solution

The fourth proportional to 6,063.82, 9,093 and 1,902.86 is: 2,853.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,063.82 : 9,093 = 1,902.86 : x
  2. Step 2: Convert to fraction form
    6,063.82/9,093 = 1,902.86/x
  3. Step 3: Cross multiply
    6,063.82x = 9,093 × 1,902.86
  4. Step 4: Simplify right side
    6,063.82x = 17,302,705.98
  5. Step 5: Solve for x
    x = 17,302,705.98/6,063.82
  6. Step 6: Final answer
    x = 2,853.43

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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.