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Finding the Fourth Proportional to 5,756.14, 8,635.14 and 2,469.28

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Solution

The fourth proportional to 5,756.14, 8,635.14 and 2,469.28 is: 3,704.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.14 : 8,635.14 = 2,469.28 : x
  2. Step 2: Convert to fraction form
    5,756.14/8,635.14 = 2,469.28/x
  3. Step 3: Cross multiply
    5,756.14x = 8,635.14 × 2,469.28
  4. Step 4: Simplify right side
    5,756.14x = 21,322,578.50
  5. Step 5: Solve for x
    x = 21,322,578.50/5,756.14
  6. Step 6: Final answer
    x = 3,704.32

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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.