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Finding the Fourth Proportional to 6,338.50, 9,501.04 and 2,388.04

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Solution

The fourth proportional to 6,338.50, 9,501.04 and 2,388.04 is: 3,579.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.50 : 9,501.04 = 2,388.04 : x
  2. Step 2: Convert to fraction form
    6,338.50/9,501.04 = 2,388.04/x
  3. Step 3: Cross multiply
    6,338.50x = 9,501.04 × 2,388.04
  4. Step 4: Simplify right side
    6,338.50x = 22,688,863.56
  5. Step 5: Solve for x
    x = 22,688,863.56/6,338.50
  6. Step 6: Final answer
    x = 3,579.53

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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.