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Finding the Fourth Proportional to 11,957.37, 16,499.74 and 6,923.17

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Solution

The fourth proportional to 11,957.37, 16,499.74 and 6,923.17 is: 9,553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.37 : 16,499.74 = 6,923.17 : x
  2. Step 2: Convert to fraction form
    11,957.37/16,499.74 = 6,923.17/x
  3. Step 3: Cross multiply
    11,957.37x = 16,499.74 × 6,923.17
  4. Step 4: Simplify right side
    11,957.37x = 114,230,504.98
  5. Step 5: Solve for x
    x = 114,230,504.98/11,957.37
  6. Step 6: Final answer
    x = 9,553.15

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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.