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Finding the Fourth Proportional to 6,107.58, 9,163.74 and 2,598.36

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Solution

The fourth proportional to 6,107.58, 9,163.74 and 2,598.36 is: 3,898.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.58 : 9,163.74 = 2,598.36 : x
  2. Step 2: Convert to fraction form
    6,107.58/9,163.74 = 2,598.36/x
  3. Step 3: Cross multiply
    6,107.58x = 9,163.74 × 2,598.36
  4. Step 4: Simplify right side
    6,107.58x = 23,810,695.47
  5. Step 5: Solve for x
    x = 23,810,695.47/6,107.58
  6. Step 6: Final answer
    x = 3,898.55

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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.