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Finding the Fourth Proportional to 6,297.94, 9,446.90 and 1,680.94

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Solution

The fourth proportional to 6,297.94, 9,446.90 and 1,680.94 is: 2,521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.94 : 9,446.90 = 1,680.94 : x
  2. Step 2: Convert to fraction form
    6,297.94/9,446.90 = 1,680.94/x
  3. Step 3: Cross multiply
    6,297.94x = 9,446.90 × 1,680.94
  4. Step 4: Simplify right side
    6,297.94x = 15,879,672.09
  5. Step 5: Solve for x
    x = 15,879,672.09/6,297.94
  6. Step 6: Final answer
    x = 2,521.41

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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.