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Finding the Fourth Proportional to 4,959.72, 6,832.20 and 4,249.24

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Solution

The fourth proportional to 4,959.72, 6,832.20 and 4,249.24 is: 5,853.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.72 : 6,832.20 = 4,249.24 : x
  2. Step 2: Convert to fraction form
    4,959.72/6,832.20 = 4,249.24/x
  3. Step 3: Cross multiply
    4,959.72x = 6,832.20 × 4,249.24
  4. Step 4: Simplify right side
    4,959.72x = 29,031,657.53
  5. Step 5: Solve for x
    x = 29,031,657.53/4,959.72
  6. Step 6: Final answer
    x = 5,853.49

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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.