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Finding the Fourth Proportional to 6,548.46, 9,821.60 and 3,038.32

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Solution

The fourth proportional to 6,548.46, 9,821.60 and 3,038.32 is: 4,556.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.46 : 9,821.60 = 3,038.32 : x
  2. Step 2: Convert to fraction form
    6,548.46/9,821.60 = 3,038.32/x
  3. Step 3: Cross multiply
    6,548.46x = 9,821.60 × 3,038.32
  4. Step 4: Simplify right side
    6,548.46x = 29,841,163.71
  5. Step 5: Solve for x
    x = 29,841,163.71/6,548.46
  6. Step 6: Final answer
    x = 4,556.97

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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.