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Finding the Fourth Proportional to 6,522.14, 9,796.74 and 5,274.14

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Solution

The fourth proportional to 6,522.14, 9,796.74 and 5,274.14 is: 7,922.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.14 : 9,796.74 = 5,274.14 : x
  2. Step 2: Convert to fraction form
    6,522.14/9,796.74 = 5,274.14/x
  3. Step 3: Cross multiply
    6,522.14x = 9,796.74 × 5,274.14
  4. Step 4: Simplify right side
    6,522.14x = 51,669,378.30
  5. Step 5: Solve for x
    x = 51,669,378.30/6,522.14
  6. Step 6: Final answer
    x = 7,922.15

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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.