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Finding the Fourth Proportional to 6,481.72, 9,707.94 and 4,542.58

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Solution

The fourth proportional to 6,481.72, 9,707.94 and 4,542.58 is: 6,803.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.72 : 9,707.94 = 4,542.58 : x
  2. Step 2: Convert to fraction form
    6,481.72/9,707.94 = 4,542.58/x
  3. Step 3: Cross multiply
    6,481.72x = 9,707.94 × 4,542.58
  4. Step 4: Simplify right side
    6,481.72x = 44,099,094.09
  5. Step 5: Solve for x
    x = 44,099,094.09/6,481.72
  6. Step 6: Final answer
    x = 6,803.61

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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.