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Finding the Fourth Proportional to 6,532.46, 9,796.62 and 2,148.90

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Solution

The fourth proportional to 6,532.46, 9,796.62 and 2,148.90 is: 3,222.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.46 : 9,796.62 = 2,148.90 : x
  2. Step 2: Convert to fraction form
    6,532.46/9,796.62 = 2,148.90/x
  3. Step 3: Cross multiply
    6,532.46x = 9,796.62 × 2,148.90
  4. Step 4: Simplify right side
    6,532.46x = 21,051,956.72
  5. Step 5: Solve for x
    x = 21,051,956.72/6,532.46
  6. Step 6: Final answer
    x = 3,222.67

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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.