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Finding the Fourth Proportional to 6,293.63, 9,442.50 and 1,911.09

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Solution

The fourth proportional to 6,293.63, 9,442.50 and 1,911.09 is: 2,867.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.63 : 9,442.50 = 1,911.09 : x
  2. Step 2: Convert to fraction form
    6,293.63/9,442.50 = 1,911.09/x
  3. Step 3: Cross multiply
    6,293.63x = 9,442.50 × 1,911.09
  4. Step 4: Simplify right side
    6,293.63x = 18,045,467.33
  5. Step 5: Solve for x
    x = 18,045,467.33/6,293.63
  6. Step 6: Final answer
    x = 2,867.26

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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.