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Finding the Fourth Proportional to 6,533.45, 9,795.14 and 3,243.99

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Solution

The fourth proportional to 6,533.45, 9,795.14 and 3,243.99 is: 4,863.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.45 : 9,795.14 = 3,243.99 : x
  2. Step 2: Convert to fraction form
    6,533.45/9,795.14 = 3,243.99/x
  3. Step 3: Cross multiply
    6,533.45x = 9,795.14 × 3,243.99
  4. Step 4: Simplify right side
    6,533.45x = 31,775,336.21
  5. Step 5: Solve for x
    x = 31,775,336.21/6,533.45
  6. Step 6: Final answer
    x = 4,863.49

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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.