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Finding the Fourth Proportional to 5,370, 7,414.80 and 4,194.36

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Solution

The fourth proportional to 5,370, 7,414.80 and 4,194.36 is: 5,791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370 : 7,414.80 = 4,194.36 : x
  2. Step 2: Convert to fraction form
    5,370/7,414.80 = 4,194.36/x
  3. Step 3: Cross multiply
    5,370x = 7,414.80 × 4,194.36
  4. Step 4: Simplify right side
    5,370x = 31,100,340.53
  5. Step 5: Solve for x
    x = 31,100,340.53/5,370
  6. Step 6: Final answer
    x = 5,791.50

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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.