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Finding the Fourth Proportional to 5,486.42, 7,571.28 and 5,067.84

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Solution

The fourth proportional to 5,486.42, 7,571.28 and 5,067.84 is: 6,993.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.42 : 7,571.28 = 5,067.84 : x
  2. Step 2: Convert to fraction form
    5,486.42/7,571.28 = 5,067.84/x
  3. Step 3: Cross multiply
    5,486.42x = 7,571.28 × 5,067.84
  4. Step 4: Simplify right side
    5,486.42x = 38,370,035.64
  5. Step 5: Solve for x
    x = 38,370,035.64/5,486.42
  6. Step 6: Final answer
    x = 6,993.64

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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.