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Finding the Fourth Proportional to 6,856.54, 9,462.22 and 3,872.20

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Solution

The fourth proportional to 6,856.54, 9,462.22 and 3,872.20 is: 5,343.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.54 : 9,462.22 = 3,872.20 : x
  2. Step 2: Convert to fraction form
    6,856.54/9,462.22 = 3,872.20/x
  3. Step 3: Cross multiply
    6,856.54x = 9,462.22 × 3,872.20
  4. Step 4: Simplify right side
    6,856.54x = 36,639,608.28
  5. Step 5: Solve for x
    x = 36,639,608.28/6,856.54
  6. Step 6: Final answer
    x = 5,343.75

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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.