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Finding the Fourth Proportional to 7,930.80, 11,880.05 and 3,758.16

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Solution

The fourth proportional to 7,930.80, 11,880.05 and 3,758.16 is: 5,629.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.80 : 11,880.05 = 3,758.16 : x
  2. Step 2: Convert to fraction form
    7,930.80/11,880.05 = 3,758.16/x
  3. Step 3: Cross multiply
    7,930.80x = 11,880.05 × 3,758.16
  4. Step 4: Simplify right side
    7,930.80x = 44,647,138.10
  5. Step 5: Solve for x
    x = 44,647,138.10/7,930.80
  6. Step 6: Final answer
    x = 5,629.59

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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.