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Finding the Fourth Proportional to 7,096.62, 10,643.88 and 2,416.44

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Solution

The fourth proportional to 7,096.62, 10,643.88 and 2,416.44 is: 3,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.62 : 10,643.88 = 2,416.44 : x
  2. Step 2: Convert to fraction form
    7,096.62/10,643.88 = 2,416.44/x
  3. Step 3: Cross multiply
    7,096.62x = 10,643.88 × 2,416.44
  4. Step 4: Simplify right side
    7,096.62x = 25,720,297.39
  5. Step 5: Solve for x
    x = 25,720,297.39/7,096.62
  6. Step 6: Final answer
    x = 3,624.30

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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.