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Finding the Fourth Proportional to 6,754.44, 9,323.97 and 4,102.71

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Solution

The fourth proportional to 6,754.44, 9,323.97 and 4,102.71 is: 5,663.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.44 : 9,323.97 = 4,102.71 : x
  2. Step 2: Convert to fraction form
    6,754.44/9,323.97 = 4,102.71/x
  3. Step 3: Cross multiply
    6,754.44x = 9,323.97 × 4,102.71
  4. Step 4: Simplify right side
    6,754.44x = 38,253,544.96
  5. Step 5: Solve for x
    x = 38,253,544.96/6,754.44
  6. Step 6: Final answer
    x = 5,663.47

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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.