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Finding the Fourth Proportional to 6,197.63, 9,296.44 and 1,580.63

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Solution

The fourth proportional to 6,197.63, 9,296.44 and 1,580.63 is: 2,370.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.63 : 9,296.44 = 1,580.63 : x
  2. Step 2: Convert to fraction form
    6,197.63/9,296.44 = 1,580.63/x
  3. Step 3: Cross multiply
    6,197.63x = 9,296.44 × 1,580.63
  4. Step 4: Simplify right side
    6,197.63x = 14,694,181.52
  5. Step 5: Solve for x
    x = 14,694,181.52/6,197.63
  6. Step 6: Final answer
    x = 2,370.94

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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.