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Finding the Fourth Proportional to 6,101.76, 9,152.97 and 1,941.48

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Solution

The fourth proportional to 6,101.76, 9,152.97 and 1,941.48 is: 2,912.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.76 : 9,152.97 = 1,941.48 : x
  2. Step 2: Convert to fraction form
    6,101.76/9,152.97 = 1,941.48/x
  3. Step 3: Cross multiply
    6,101.76x = 9,152.97 × 1,941.48
  4. Step 4: Simplify right side
    6,101.76x = 17,770,308.20
  5. Step 5: Solve for x
    x = 17,770,308.20/6,101.76
  6. Step 6: Final answer
    x = 2,912.33

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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.