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Finding the Fourth Proportional to 11,809.98, 16,297.12 and 6,504.38

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Solution

The fourth proportional to 11,809.98, 16,297.12 and 6,504.38 is: 8,975.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.98 : 16,297.12 = 6,504.38 : x
  2. Step 2: Convert to fraction form
    11,809.98/16,297.12 = 6,504.38/x
  3. Step 3: Cross multiply
    11,809.98x = 16,297.12 × 6,504.38
  4. Step 4: Simplify right side
    11,809.98x = 106,002,661.39
  5. Step 5: Solve for x
    x = 106,002,661.39/11,809.98
  6. Step 6: Final answer
    x = 8,975.69

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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.