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Finding the Fourth Proportional to 7,162.54, 10,742.42 and 2,232.23

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Solution

The fourth proportional to 7,162.54, 10,742.42 and 2,232.23 is: 3,347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.54 : 10,742.42 = 2,232.23 : x
  2. Step 2: Convert to fraction form
    7,162.54/10,742.42 = 2,232.23/x
  3. Step 3: Cross multiply
    7,162.54x = 10,742.42 × 2,232.23
  4. Step 4: Simplify right side
    7,162.54x = 23,979,504.07
  5. Step 5: Solve for x
    x = 23,979,504.07/7,162.54
  6. Step 6: Final answer
    x = 3,347.91

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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.