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Finding the Fourth Proportional to 6,898.92, 9,520.76 and 3,755.24

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Solution

The fourth proportional to 6,898.92, 9,520.76 and 3,755.24 is: 5,182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.92 : 9,520.76 = 3,755.24 : x
  2. Step 2: Convert to fraction form
    6,898.92/9,520.76 = 3,755.24/x
  3. Step 3: Cross multiply
    6,898.92x = 9,520.76 × 3,755.24
  4. Step 4: Simplify right side
    6,898.92x = 35,752,738.78
  5. Step 5: Solve for x
    x = 35,752,738.78/6,898.92
  6. Step 6: Final answer
    x = 5,182.37

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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.