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Finding the Fourth Proportional to 6,179.06, 9,268.63 and 1,562.06

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Solution

The fourth proportional to 6,179.06, 9,268.63 and 1,562.06 is: 2,343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179.06 : 9,268.63 = 1,562.06 : x
  2. Step 2: Convert to fraction form
    6,179.06/9,268.63 = 1,562.06/x
  3. Step 3: Cross multiply
    6,179.06x = 9,268.63 × 1,562.06
  4. Step 4: Simplify right side
    6,179.06x = 14,478,175.44
  5. Step 5: Solve for x
    x = 14,478,175.44/6,179.06
  6. Step 6: Final answer
    x = 2,343.10

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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.