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Finding the Fourth Proportional to 6,898.77, 9,520.47 and 3,754.98

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Solution

The fourth proportional to 6,898.77, 9,520.47 and 3,754.98 is: 5,181.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.77 : 9,520.47 = 3,754.98 : x
  2. Step 2: Convert to fraction form
    6,898.77/9,520.47 = 3,754.98/x
  3. Step 3: Cross multiply
    6,898.77x = 9,520.47 × 3,754.98
  4. Step 4: Simplify right side
    6,898.77x = 35,749,174.44
  5. Step 5: Solve for x
    x = 35,749,174.44/6,898.77
  6. Step 6: Final answer
    x = 5,181.96

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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.