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Finding the Fourth Proportional to 6,841.44, 9,439.04 and 4,186.08

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Solution

The fourth proportional to 6,841.44, 9,439.04 and 4,186.08 is: 5,775.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.44 : 9,439.04 = 4,186.08 : x
  2. Step 2: Convert to fraction form
    6,841.44/9,439.04 = 4,186.08/x
  3. Step 3: Cross multiply
    6,841.44x = 9,439.04 × 4,186.08
  4. Step 4: Simplify right side
    6,841.44x = 39,512,576.56
  5. Step 5: Solve for x
    x = 39,512,576.56/6,841.44
  6. Step 6: Final answer
    x = 5,775.48

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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.