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Finding the Fourth Proportional to 6,102.56, 9,168.41 and 3,915.56

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Solution

The fourth proportional to 6,102.56, 9,168.41 and 3,915.56 is: 5,882.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.56 : 9,168.41 = 3,915.56 : x
  2. Step 2: Convert to fraction form
    6,102.56/9,168.41 = 3,915.56/x
  3. Step 3: Cross multiply
    6,102.56x = 9,168.41 × 3,915.56
  4. Step 4: Simplify right side
    6,102.56x = 35,899,423.41
  5. Step 5: Solve for x
    x = 35,899,423.41/6,102.56
  6. Step 6: Final answer
    x = 5,882.69

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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.