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Finding the Fourth Proportional to 6,136.02, 8,470.26 and 4,644.36

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Solution

The fourth proportional to 6,136.02, 8,470.26 and 4,644.36 is: 6,411.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.02 : 8,470.26 = 4,644.36 : x
  2. Step 2: Convert to fraction form
    6,136.02/8,470.26 = 4,644.36/x
  3. Step 3: Cross multiply
    6,136.02x = 8,470.26 × 4,644.36
  4. Step 4: Simplify right side
    6,136.02x = 39,338,936.73
  5. Step 5: Solve for x
    x = 39,338,936.73/6,136.02
  6. Step 6: Final answer
    x = 6,411.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.