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Finding the Fourth Proportional to 11,944, 17,918.25 and 5,704.48

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Solution

The fourth proportional to 11,944, 17,918.25 and 5,704.48 is: 8,557.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944 : 17,918.25 = 5,704.48 : x
  2. Step 2: Convert to fraction form
    11,944/17,918.25 = 5,704.48/x
  3. Step 3: Cross multiply
    11,944x = 17,918.25 × 5,704.48
  4. Step 4: Simplify right side
    11,944x = 102,214,298.76
  5. Step 5: Solve for x
    x = 102,214,298.76/11,944
  6. Step 6: Final answer
    x = 8,557.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.