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Finding the Fourth Proportional to 9,823.05, 13,553.59 and 8,236.11

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Solution

The fourth proportional to 9,823.05, 13,553.59 and 8,236.11 is: 11,363.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.05 : 13,553.59 = 8,236.11 : x
  2. Step 2: Convert to fraction form
    9,823.05/13,553.59 = 8,236.11/x
  3. Step 3: Cross multiply
    9,823.05x = 13,553.59 × 8,236.11
  4. Step 4: Simplify right side
    9,823.05x = 111,628,801.04
  5. Step 5: Solve for x
    x = 111,628,801.04/9,823.05
  6. Step 6: Final answer
    x = 11,363.97

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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.