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Finding the Fourth Proportional to 11,741.14, 16,189.77 and 7,485.47

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Solution

The fourth proportional to 11,741.14, 16,189.77 and 7,485.47 is: 10,321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741.14 : 16,189.77 = 7,485.47 : x
  2. Step 2: Convert to fraction form
    11,741.14/16,189.77 = 7,485.47/x
  3. Step 3: Cross multiply
    11,741.14x = 16,189.77 × 7,485.47
  4. Step 4: Simplify right side
    11,741.14x = 121,188,037.64
  5. Step 5: Solve for x
    x = 121,188,037.64/11,741.14
  6. Step 6: Final answer
    x = 10,321.66

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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.