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Finding the Fourth Proportional to 7,297.84, 10,889.81 and 6,512.44

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Solution

The fourth proportional to 7,297.84, 10,889.81 and 6,512.44 is: 9,717.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.84 : 10,889.81 = 6,512.44 : x
  2. Step 2: Convert to fraction form
    7,297.84/10,889.81 = 6,512.44/x
  3. Step 3: Cross multiply
    7,297.84x = 10,889.81 × 6,512.44
  4. Step 4: Simplify right side
    7,297.84x = 70,919,234.24
  5. Step 5: Solve for x
    x = 70,919,234.24/7,297.84
  6. Step 6: Final answer
    x = 9,717.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.