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Finding the Fourth Proportional to 7,872.96, 10,864.22 and 4,335.48

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Solution

The fourth proportional to 7,872.96, 10,864.22 and 4,335.48 is: 5,982.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.96 : 10,864.22 = 4,335.48 : x
  2. Step 2: Convert to fraction form
    7,872.96/10,864.22 = 4,335.48/x
  3. Step 3: Cross multiply
    7,872.96x = 10,864.22 × 4,335.48
  4. Step 4: Simplify right side
    7,872.96x = 47,101,608.53
  5. Step 5: Solve for x
    x = 47,101,608.53/7,872.96
  6. Step 6: Final answer
    x = 5,982.71

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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.