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Finding the Fourth Proportional to 4,853.44, 6,706.82 and 4,135.22

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Solution

The fourth proportional to 4,853.44, 6,706.82 and 4,135.22 is: 5,714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.44 : 6,706.82 = 4,135.22 : x
  2. Step 2: Convert to fraction form
    4,853.44/6,706.82 = 4,135.22/x
  3. Step 3: Cross multiply
    4,853.44x = 6,706.82 × 4,135.22
  4. Step 4: Simplify right side
    4,853.44x = 27,734,176.20
  5. Step 5: Solve for x
    x = 27,734,176.20/4,853.44
  6. Step 6: Final answer
    x = 5,714.33

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Half scale
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Double 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.