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Finding the Fourth Proportional to 9,922.91, 13,650.08 and 8,299.08

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Solution

The fourth proportional to 9,922.91, 13,650.08 and 8,299.08 is: 11,416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.91 : 13,650.08 = 8,299.08 : x
  2. Step 2: Convert to fraction form
    9,922.91/13,650.08 = 8,299.08/x
  3. Step 3: Cross multiply
    9,922.91x = 13,650.08 × 8,299.08
  4. Step 4: Simplify right side
    9,922.91x = 113,283,064.43
  5. Step 5: Solve for x
    x = 113,283,064.43/9,922.91
  6. Step 6: Final answer
    x = 11,416.32

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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.