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Finding the Fourth Proportional to 4,511.09, 6,783.09 and 4,150.24

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Solution

The fourth proportional to 4,511.09, 6,783.09 and 4,150.24 is: 6,240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511.09 : 6,783.09 = 4,150.24 : x
  2. Step 2: Convert to fraction form
    4,511.09/6,783.09 = 4,150.24/x
  3. Step 3: Cross multiply
    4,511.09x = 6,783.09 × 4,150.24
  4. Step 4: Simplify right side
    4,511.09x = 28,151,451.44
  5. Step 5: Solve for x
    x = 28,151,451.44/4,511.09
  6. Step 6: Final answer
    x = 6,240.50

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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.