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Finding the Fourth Proportional to 5,969.88, 8,174.75 and 5,734.60

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Solution

The fourth proportional to 5,969.88, 8,174.75 and 5,734.60 is: 7,852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.88 : 8,174.75 = 5,734.60 : x
  2. Step 2: Convert to fraction form
    5,969.88/8,174.75 = 5,734.60/x
  3. Step 3: Cross multiply
    5,969.88x = 8,174.75 × 5,734.60
  4. Step 4: Simplify right side
    5,969.88x = 46,878,872.24
  5. Step 5: Solve for x
    x = 46,878,872.24/5,969.88
  6. Step 6: Final answer
    x = 7,852.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.