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Finding the Fourth Proportional to 6,183, 8,532.54 and 3,388.50

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Solution

The fourth proportional to 6,183, 8,532.54 and 3,388.50 is: 4,676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183 : 8,532.54 = 3,388.50 : x
  2. Step 2: Convert to fraction form
    6,183/8,532.54 = 3,388.50/x
  3. Step 3: Cross multiply
    6,183x = 8,532.54 × 3,388.50
  4. Step 4: Simplify right side
    6,183x = 28,912,511.79
  5. Step 5: Solve for x
    x = 28,912,511.79/6,183
  6. Step 6: Final answer
    x = 4,676.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.