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Finding the Fourth Proportional to 6,388.50, 9,582.37 and 2,385.12

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Solution

The fourth proportional to 6,388.50, 9,582.37 and 2,385.12 is: 3,577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.50 : 9,582.37 = 2,385.12 : x
  2. Step 2: Convert to fraction form
    6,388.50/9,582.37 = 2,385.12/x
  3. Step 3: Cross multiply
    6,388.50x = 9,582.37 × 2,385.12
  4. Step 4: Simplify right side
    6,388.50x = 22,855,105.36
  5. Step 5: Solve for x
    x = 22,855,105.36/6,388.50
  6. Step 6: Final answer
    x = 3,577.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.