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Finding the Fourth Proportional to 11,324.00, 16,986.08 and 6,640.74

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Solution

The fourth proportional to 11,324.00, 16,986.08 and 6,640.74 is: 9,961.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324.00 : 16,986.08 = 6,640.74 : x
  2. Step 2: Convert to fraction form
    11,324.00/16,986.08 = 6,640.74/x
  3. Step 3: Cross multiply
    11,324.00x = 16,986.08 × 6,640.74
  4. Step 4: Simplify right side
    11,324.00x = 112,800,107.70
  5. Step 5: Solve for x
    x = 112,800,107.70/11,324.00
  6. Step 6: Final answer
    x = 9,961.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.