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Finding the Fourth Proportional to 11,640.38, 16,064.19 and 6,604.54

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Solution

The fourth proportional to 11,640.38, 16,064.19 and 6,604.54 is: 9,114.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.38 : 16,064.19 = 6,604.54 : x
  2. Step 2: Convert to fraction form
    11,640.38/16,064.19 = 6,604.54/x
  3. Step 3: Cross multiply
    11,640.38x = 16,064.19 × 6,604.54
  4. Step 4: Simplify right side
    11,640.38x = 106,096,545.26
  5. Step 5: Solve for x
    x = 106,096,545.26/11,640.38
  6. Step 6: Final answer
    x = 9,114.53

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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.