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Finding the Fourth Proportional to 6,038, 9,057 and 1,934

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Solution

The fourth proportional to 6,038, 9,057 and 1,934 is: 2,901

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038 : 9,057 = 1,934 : x
  2. Step 2: Convert to fraction form
    6,038/9,057 = 1,934/x
  3. Step 3: Cross multiply
    6,038x = 9,057 × 1,934
  4. Step 4: Simplify right side
    6,038x = 17,516,238
  5. Step 5: Solve for x
    x = 17,516,238/6,038
  6. Step 6: Final answer
    x = 2,901

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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.