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Finding the Fourth Proportional to 6,158.70, 9,236.34 and 1,774.98

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Solution

The fourth proportional to 6,158.70, 9,236.34 and 1,774.98 is: 2,661.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.70 : 9,236.34 = 1,774.98 : x
  2. Step 2: Convert to fraction form
    6,158.70/9,236.34 = 1,774.98/x
  3. Step 3: Cross multiply
    6,158.70x = 9,236.34 × 1,774.98
  4. Step 4: Simplify right side
    6,158.70x = 16,394,318.77
  5. Step 5: Solve for x
    x = 16,394,318.77/6,158.70
  6. Step 6: Final answer
    x = 2,661.98

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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.