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Finding the Fourth Proportional to 10,000.37, 13,797.34 and 5,749.85

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Solution

The fourth proportional to 10,000.37, 13,797.34 and 5,749.85 is: 7,932.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.37 : 13,797.34 = 5,749.85 : x
  2. Step 2: Convert to fraction form
    10,000.37/13,797.34 = 5,749.85/x
  3. Step 3: Cross multiply
    10,000.37x = 13,797.34 × 5,749.85
  4. Step 4: Simplify right side
    10,000.37x = 79,332,655.52
  5. Step 5: Solve for x
    x = 79,332,655.52/10,000.37
  6. Step 6: Final answer
    x = 7,932.97

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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.