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Finding the Fourth Proportional to 6,016, 9,026.74 and 2,319.08

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Solution

The fourth proportional to 6,016, 9,026.74 and 2,319.08 is: 3,479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016 : 9,026.74 = 2,319.08 : x
  2. Step 2: Convert to fraction form
    6,016/9,026.74 = 2,319.08/x
  3. Step 3: Cross multiply
    6,016x = 9,026.74 × 2,319.08
  4. Step 4: Simplify right side
    6,016x = 20,933,732.20
  5. Step 5: Solve for x
    x = 20,933,732.20/6,016
  6. Step 6: Final answer
    x = 3,479.68

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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.