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Finding the Fourth Proportional to 6,705.92, 10,059.52 and 2,324.48

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Solution

The fourth proportional to 6,705.92, 10,059.52 and 2,324.48 is: 3,486.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.92 : 10,059.52 = 2,324.48 : x
  2. Step 2: Convert to fraction form
    6,705.92/10,059.52 = 2,324.48/x
  3. Step 3: Cross multiply
    6,705.92x = 10,059.52 × 2,324.48
  4. Step 4: Simplify right side
    6,705.92x = 23,383,153.05
  5. Step 5: Solve for x
    x = 23,383,153.05/6,705.92
  6. Step 6: Final answer
    x = 3,486.94

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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.