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Finding the Fourth Proportional to 6,355.54, 9,535.74 and 2,462.68

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Solution

The fourth proportional to 6,355.54, 9,535.74 and 2,462.68 is: 3,694.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.54 : 9,535.74 = 2,462.68 : x
  2. Step 2: Convert to fraction form
    6,355.54/9,535.74 = 2,462.68/x
  3. Step 3: Cross multiply
    6,355.54x = 9,535.74 × 2,462.68
  4. Step 4: Simplify right side
    6,355.54x = 23,483,476.18
  5. Step 5: Solve for x
    x = 23,483,476.18/6,355.54
  6. Step 6: Final answer
    x = 3,694.96

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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.