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Finding the Fourth Proportional to 6,932.99, 10,399.49 and 1,738.86

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Solution

The fourth proportional to 6,932.99, 10,399.49 and 1,738.86 is: 2,608.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.99 : 10,399.49 = 1,738.86 : x
  2. Step 2: Convert to fraction form
    6,932.99/10,399.49 = 1,738.86/x
  3. Step 3: Cross multiply
    6,932.99x = 10,399.49 × 1,738.86
  4. Step 4: Simplify right side
    6,932.99x = 18,083,248.49
  5. Step 5: Solve for x
    x = 18,083,248.49/6,932.99
  6. Step 6: Final answer
    x = 2,608.29

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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.