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Finding the Fourth Proportional to 6,158.56, 9,237.60 and 1,998.40

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Solution

The fourth proportional to 6,158.56, 9,237.60 and 1,998.40 is: 2,997.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.56 : 9,237.60 = 1,998.40 : x
  2. Step 2: Convert to fraction form
    6,158.56/9,237.60 = 1,998.40/x
  3. Step 3: Cross multiply
    6,158.56x = 9,237.60 × 1,998.40
  4. Step 4: Simplify right side
    6,158.56x = 18,460,419.84
  5. Step 5: Solve for x
    x = 18,460,419.84/6,158.56
  6. Step 6: Final answer
    x = 2,997.52

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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.