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Finding the Fourth Proportional to 6,130.78, 8,469.09 and 5,467.42

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Solution

The fourth proportional to 6,130.78, 8,469.09 and 5,467.42 is: 7,552.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.78 : 8,469.09 = 5,467.42 : x
  2. Step 2: Convert to fraction form
    6,130.78/8,469.09 = 5,467.42/x
  3. Step 3: Cross multiply
    6,130.78x = 8,469.09 × 5,467.42
  4. Step 4: Simplify right side
    6,130.78x = 46,304,072.05
  5. Step 5: Solve for x
    x = 46,304,072.05/6,130.78
  6. Step 6: Final answer
    x = 7,552.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.