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Finding the Fourth Proportional to 6,467.32, 8,928.54 and 4,231.48

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Solution

The fourth proportional to 6,467.32, 8,928.54 and 4,231.48 is: 5,841.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.32 : 8,928.54 = 4,231.48 : x
  2. Step 2: Convert to fraction form
    6,467.32/8,928.54 = 4,231.48/x
  3. Step 3: Cross multiply
    6,467.32x = 8,928.54 × 4,231.48
  4. Step 4: Simplify right side
    6,467.32x = 37,780,938.44
  5. Step 5: Solve for x
    x = 37,780,938.44/6,467.32
  6. Step 6: Final answer
    x = 5,841.82

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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.