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Finding the Fourth Proportional to 11,840.37, 16,341 and 6,804.80

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Solution

The fourth proportional to 11,840.37, 16,341 and 6,804.80 is: 9,391.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.37 : 16,341 = 6,804.80 : x
  2. Step 2: Convert to fraction form
    11,840.37/16,341 = 6,804.80/x
  3. Step 3: Cross multiply
    11,840.37x = 16,341 × 6,804.80
  4. Step 4: Simplify right side
    11,840.37x = 111,197,236.80
  5. Step 5: Solve for x
    x = 111,197,236.80/11,840.37
  6. Step 6: Final answer
    x = 9,391.37

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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.