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Finding the Fourth Proportional to 6,198.90, 9,298.33 and 5,100.98

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Solution

The fourth proportional to 6,198.90, 9,298.33 and 5,100.98 is: 7,651.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.90 : 9,298.33 = 5,100.98 : x
  2. Step 2: Convert to fraction form
    6,198.90/9,298.33 = 5,100.98/x
  3. Step 3: Cross multiply
    6,198.90x = 9,298.33 × 5,100.98
  4. Step 4: Simplify right side
    6,198.90x = 47,430,536.12
  5. Step 5: Solve for x
    x = 47,430,536.12/6,198.90
  6. Step 6: Final answer
    x = 7,651.45

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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.