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Finding the Fourth Proportional to 11,970.97, 16,520.04 and 6,593.98

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Solution

The fourth proportional to 11,970.97, 16,520.04 and 6,593.98 is: 9,099.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.97 : 16,520.04 = 6,593.98 : x
  2. Step 2: Convert to fraction form
    11,970.97/16,520.04 = 6,593.98/x
  3. Step 3: Cross multiply
    11,970.97x = 16,520.04 × 6,593.98
  4. Step 4: Simplify right side
    11,970.97x = 108,932,813.36
  5. Step 5: Solve for x
    x = 108,932,813.36/11,970.97
  6. Step 6: Final answer
    x = 9,099.75

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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.