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Finding the Fourth Proportional to 7,531.92, 10,394.06 and 4,174.88

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Solution

The fourth proportional to 7,531.92, 10,394.06 and 4,174.88 is: 5,761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.92 : 10,394.06 = 4,174.88 : x
  2. Step 2: Convert to fraction form
    7,531.92/10,394.06 = 4,174.88/x
  3. Step 3: Cross multiply
    7,531.92x = 10,394.06 × 4,174.88
  4. Step 4: Simplify right side
    7,531.92x = 43,393,880.37
  5. Step 5: Solve for x
    x = 43,393,880.37/7,531.92
  6. Step 6: Final answer
    x = 5,761.33

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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.