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Finding the Fourth Proportional to 7,162.42, 10,743.20 and 4,259.20

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Solution

The fourth proportional to 7,162.42, 10,743.20 and 4,259.20 is: 6,388.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.42 : 10,743.20 = 4,259.20 : x
  2. Step 2: Convert to fraction form
    7,162.42/10,743.20 = 4,259.20/x
  3. Step 3: Cross multiply
    7,162.42x = 10,743.20 × 4,259.20
  4. Step 4: Simplify right side
    7,162.42x = 45,757,437.44
  5. Step 5: Solve for x
    x = 45,757,437.44/7,162.42
  6. Step 6: Final answer
    x = 6,388.54

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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.