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Finding the Fourth Proportional to 6,832.70, 10,249.05 and 1,902.35

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Solution

The fourth proportional to 6,832.70, 10,249.05 and 1,902.35 is: 2,853.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.70 : 10,249.05 = 1,902.35 : x
  2. Step 2: Convert to fraction form
    6,832.70/10,249.05 = 1,902.35/x
  3. Step 3: Cross multiply
    6,832.70x = 10,249.05 × 1,902.35
  4. Step 4: Simplify right side
    6,832.70x = 19,497,280.27
  5. Step 5: Solve for x
    x = 19,497,280.27/6,832.70
  6. Step 6: Final answer
    x = 2,853.53

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.