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Finding the Fourth Proportional to 6,702.46, 10,055.00 and 2,022.85

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Solution

The fourth proportional to 6,702.46, 10,055.00 and 2,022.85 is: 3,034.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.46 : 10,055.00 = 2,022.85 : x
  2. Step 2: Convert to fraction form
    6,702.46/10,055.00 = 2,022.85/x
  3. Step 3: Cross multiply
    6,702.46x = 10,055.00 × 2,022.85
  4. Step 4: Simplify right side
    6,702.46x = 20,339,737.56
  5. Step 5: Solve for x
    x = 20,339,737.56/6,702.46
  6. Step 6: Final answer
    x = 3,034.67

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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.