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Finding the Fourth Proportional to 6,241, 9,363.04 and 1,858.44

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Solution

The fourth proportional to 6,241, 9,363.04 and 1,858.44 is: 2,788.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241 : 9,363.04 = 1,858.44 : x
  2. Step 2: Convert to fraction form
    6,241/9,363.04 = 1,858.44/x
  3. Step 3: Cross multiply
    6,241x = 9,363.04 × 1,858.44
  4. Step 4: Simplify right side
    6,241x = 17,400,648.06
  5. Step 5: Solve for x
    x = 17,400,648.06/6,241
  6. Step 6: Final answer
    x = 2,788.12

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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.