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Finding the Fourth Proportional to 6,898.42, 9,519.87 and 3,754.63

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Solution

The fourth proportional to 6,898.42, 9,519.87 and 3,754.63 is: 5,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.42 : 9,519.87 = 3,754.63 : x
  2. Step 2: Convert to fraction form
    6,898.42/9,519.87 = 3,754.63/x
  3. Step 3: Cross multiply
    6,898.42x = 9,519.87 × 3,754.63
  4. Step 4: Simplify right side
    6,898.42x = 35,743,589.50
  5. Step 5: Solve for x
    x = 35,743,589.50/6,898.42
  6. Step 6: Final answer
    x = 5,181.42

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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.