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Finding the Fourth Proportional to 7,224.80, 10,832.80 and 2,837.20

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Solution

The fourth proportional to 7,224.80, 10,832.80 and 2,837.20 is: 4,254.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.80 : 10,832.80 = 2,837.20 : x
  2. Step 2: Convert to fraction form
    7,224.80/10,832.80 = 2,837.20/x
  3. Step 3: Cross multiply
    7,224.80x = 10,832.80 × 2,837.20
  4. Step 4: Simplify right side
    7,224.80x = 30,734,820.16
  5. Step 5: Solve for x
    x = 30,734,820.16/7,224.80
  6. Step 6: Final answer
    x = 4,254.07

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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.