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Finding the Fourth Proportional to 11,844.34, 16,343.22 and 6,808.30

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Solution

The fourth proportional to 11,844.34, 16,343.22 and 6,808.30 is: 9,394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,844.34 : 16,343.22 = 6,808.30 : x
  2. Step 2: Convert to fraction form
    11,844.34/16,343.22 = 6,808.30/x
  3. Step 3: Cross multiply
    11,844.34x = 16,343.22 × 6,808.30
  4. Step 4: Simplify right side
    11,844.34x = 111,269,544.73
  5. Step 5: Solve for x
    x = 111,269,544.73/11,844.34
  6. Step 6: Final answer
    x = 9,394.32

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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.