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Finding the Fourth Proportional to 11,945.99, 16,484.23 and 6,640.22

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Solution

The fourth proportional to 11,945.99, 16,484.23 and 6,640.22 is: 9,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,945.99 : 16,484.23 = 6,640.22 : x
  2. Step 2: Convert to fraction form
    11,945.99/16,484.23 = 6,640.22/x
  3. Step 3: Cross multiply
    11,945.99x = 16,484.23 × 6,640.22
  4. Step 4: Simplify right side
    11,945.99x = 109,458,913.73
  5. Step 5: Solve for x
    x = 109,458,913.73/11,945.99
  6. Step 6: Final answer
    x = 9,162.82

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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.