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Finding the Fourth Proportional to 6,267, 9,394.92 and 2,374.16

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Solution

The fourth proportional to 6,267, 9,394.92 and 2,374.16 is: 3,559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267 : 9,394.92 = 2,374.16 : x
  2. Step 2: Convert to fraction form
    6,267/9,394.92 = 2,374.16/x
  3. Step 3: Cross multiply
    6,267x = 9,394.92 × 2,374.16
  4. Step 4: Simplify right side
    6,267x = 22,305,043.27
  5. Step 5: Solve for x
    x = 22,305,043.27/6,267
  6. Step 6: Final answer
    x = 3,559.13

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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.