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Finding the Fourth Proportional to 9,824.05, 13,554.97 and 8,237.11

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Solution

The fourth proportional to 9,824.05, 13,554.97 and 8,237.11 is: 11,365.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.05 : 13,554.97 = 8,237.11 : x
  2. Step 2: Convert to fraction form
    9,824.05/13,554.97 = 8,237.11/x
  3. Step 3: Cross multiply
    9,824.05x = 13,554.97 × 8,237.11
  4. Step 4: Simplify right side
    9,824.05x = 111,653,778.94
  5. Step 5: Solve for x
    x = 111,653,778.94/9,824.05
  6. Step 6: Final answer
    x = 11,365.35

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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.