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Finding the Fourth Proportional to 6,199.26, 9,298.68 and 1,519.26

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Solution

The fourth proportional to 6,199.26, 9,298.68 and 1,519.26 is: 2,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.26 : 9,298.68 = 1,519.26 : x
  2. Step 2: Convert to fraction form
    6,199.26/9,298.68 = 1,519.26/x
  3. Step 3: Cross multiply
    6,199.26x = 9,298.68 × 1,519.26
  4. Step 4: Simplify right side
    6,199.26x = 14,127,112.58
  5. Step 5: Solve for x
    x = 14,127,112.58/6,199.26
  6. Step 6: Final answer
    x = 2,278.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.