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Finding the Fourth Proportional to 8,371.94, 11,553.80 and 6,103.80

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Solution

The fourth proportional to 8,371.94, 11,553.80 and 6,103.80 is: 8,423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.94 : 11,553.80 = 6,103.80 : x
  2. Step 2: Convert to fraction form
    8,371.94/11,553.80 = 6,103.80/x
  3. Step 3: Cross multiply
    8,371.94x = 11,553.80 × 6,103.80
  4. Step 4: Simplify right side
    8,371.94x = 70,522,053.92
  5. Step 5: Solve for x
    x = 70,522,053.92/8,371.94
  6. Step 6: Final answer
    x = 8,423.63

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1.5x scale

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.