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Finding the Fourth Proportional to 6,548.24, 9,823 and 3,084.56

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Solution

The fourth proportional to 6,548.24, 9,823 and 3,084.56 is: 4,627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.24 : 9,823 = 3,084.56 : x
  2. Step 2: Convert to fraction form
    6,548.24/9,823 = 3,084.56/x
  3. Step 3: Cross multiply
    6,548.24x = 9,823 × 3,084.56
  4. Step 4: Simplify right side
    6,548.24x = 30,299,632.88
  5. Step 5: Solve for x
    x = 30,299,632.88/6,548.24
  6. Step 6: Final answer
    x = 4,627.14

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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.