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Finding the Fourth Proportional to 7,224.81, 10,832.76 and 4,057.28

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Solution

The fourth proportional to 7,224.81, 10,832.76 and 4,057.28 is: 6,083.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.81 : 10,832.76 = 4,057.28 : x
  2. Step 2: Convert to fraction form
    7,224.81/10,832.76 = 4,057.28/x
  3. Step 3: Cross multiply
    7,224.81x = 10,832.76 × 4,057.28
  4. Step 4: Simplify right side
    7,224.81x = 43,951,486.33
  5. Step 5: Solve for x
    x = 43,951,486.33/7,224.81
  6. Step 6: Final answer
    x = 6,083.41

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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.