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Finding the Fourth Proportional to 6,069.84, 9,096.84 and 2,735.64

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Solution

The fourth proportional to 6,069.84, 9,096.84 and 2,735.64 is: 4,099.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.84 : 9,096.84 = 2,735.64 : x
  2. Step 2: Convert to fraction form
    6,069.84/9,096.84 = 2,735.64/x
  3. Step 3: Cross multiply
    6,069.84x = 9,096.84 × 2,735.64
  4. Step 4: Simplify right side
    6,069.84x = 24,885,679.38
  5. Step 5: Solve for x
    x = 24,885,679.38/6,069.84
  6. Step 6: Final answer
    x = 4,099.89

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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.