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Finding the Fourth Proportional to 6,293, 9,440.58 and 1,910.90

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Solution

The fourth proportional to 6,293, 9,440.58 and 1,910.90 is: 2,866.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293 : 9,440.58 = 1,910.90 : x
  2. Step 2: Convert to fraction form
    6,293/9,440.58 = 1,910.90/x
  3. Step 3: Cross multiply
    6,293x = 9,440.58 × 1,910.90
  4. Step 4: Simplify right side
    6,293x = 18,040,004.32
  5. Step 5: Solve for x
    x = 18,040,004.32/6,293
  6. Step 6: Final answer
    x = 2,866.68

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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.