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Finding the Fourth Proportional to 6,305.92, 8,702.08 and 3,511.42

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Solution

The fourth proportional to 6,305.92, 8,702.08 and 3,511.42 is: 4,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.92 : 8,702.08 = 3,511.42 : x
  2. Step 2: Convert to fraction form
    6,305.92/8,702.08 = 3,511.42/x
  3. Step 3: Cross multiply
    6,305.92x = 8,702.08 × 3,511.42
  4. Step 4: Simplify right side
    6,305.92x = 30,556,657.75
  5. Step 5: Solve for x
    x = 30,556,657.75/6,305.92
  6. Step 6: Final answer
    x = 4,845.71

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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.