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Finding the Fourth Proportional to 6,136, 9,204 and 2,032

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Solution

The fourth proportional to 6,136, 9,204 and 2,032 is: 3,048

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136 : 9,204 = 2,032 : x
  2. Step 2: Convert to fraction form
    6,136/9,204 = 2,032/x
  3. Step 3: Cross multiply
    6,136x = 9,204 × 2,032
  4. Step 4: Simplify right side
    6,136x = 18,702,528
  5. Step 5: Solve for x
    x = 18,702,528/6,136
  6. Step 6: Final answer
    x = 3,048

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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.