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Finding the Fourth Proportional to 6,349.44, 8,770.56 and 4,674.24

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Solution

The fourth proportional to 6,349.44, 8,770.56 and 4,674.24 is: 6,456.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.44 : 8,770.56 = 4,674.24 : x
  2. Step 2: Convert to fraction form
    6,349.44/8,770.56 = 4,674.24/x
  3. Step 3: Cross multiply
    6,349.44x = 8,770.56 × 4,674.24
  4. Step 4: Simplify right side
    6,349.44x = 40,995,702.37
  5. Step 5: Solve for x
    x = 40,995,702.37/6,349.44
  6. Step 6: Final answer
    x = 6,456.59

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Half scale
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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.