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Finding the Fourth Proportional to 6,092, 9,136.92 and 1,709.84

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Solution

The fourth proportional to 6,092, 9,136.92 and 1,709.84 is: 2,564.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092 : 9,136.92 = 1,709.84 : x
  2. Step 2: Convert to fraction form
    6,092/9,136.92 = 1,709.84/x
  3. Step 3: Cross multiply
    6,092x = 9,136.92 × 1,709.84
  4. Step 4: Simplify right side
    6,092x = 15,622,671.29
  5. Step 5: Solve for x
    x = 15,622,671.29/6,092
  6. Step 6: Final answer
    x = 2,564.46

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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.