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Finding the Fourth Proportional to 11,739.14, 16,187.01 and 7,483.47

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Solution

The fourth proportional to 11,739.14, 16,187.01 and 7,483.47 is: 10,318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,739.14 : 16,187.01 = 7,483.47 : x
  2. Step 2: Convert to fraction form
    11,739.14/16,187.01 = 7,483.47/x
  3. Step 3: Cross multiply
    11,739.14x = 16,187.01 × 7,483.47
  4. Step 4: Simplify right side
    11,739.14x = 121,135,003.72
  5. Step 5: Solve for x
    x = 121,135,003.72/11,739.14
  6. Step 6: Final answer
    x = 10,318.90

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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.