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Finding the Fourth Proportional to 6,553.36, 9,826.20 and 4,498.96

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Solution

The fourth proportional to 6,553.36, 9,826.20 and 4,498.96 is: 6,745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.36 : 9,826.20 = 4,498.96 : x
  2. Step 2: Convert to fraction form
    6,553.36/9,826.20 = 4,498.96/x
  3. Step 3: Cross multiply
    6,553.36x = 9,826.20 × 4,498.96
  4. Step 4: Simplify right side
    6,553.36x = 44,207,680.75
  5. Step 5: Solve for x
    x = 44,207,680.75/6,553.36
  6. Step 6: Final answer
    x = 6,745.80

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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.