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Finding the Fourth Proportional to 4,746.24, 7,086.96 and 4,249.44

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Solution

The fourth proportional to 4,746.24, 7,086.96 and 4,249.44 is: 6,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.24 : 7,086.96 = 4,249.44 : x
  2. Step 2: Convert to fraction form
    4,746.24/7,086.96 = 4,249.44/x
  3. Step 3: Cross multiply
    4,746.24x = 7,086.96 × 4,249.44
  4. Step 4: Simplify right side
    4,746.24x = 30,115,611.30
  5. Step 5: Solve for x
    x = 30,115,611.30/4,746.24
  6. Step 6: Final answer
    x = 6,345.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.