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Finding the Fourth Proportional to 5,468.50, 8,185.74 and 5,293.54

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Solution

The fourth proportional to 5,468.50, 8,185.74 and 5,293.54 is: 7,923.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.50 : 8,185.74 = 5,293.54 : x
  2. Step 2: Convert to fraction form
    5,468.50/8,185.74 = 5,293.54/x
  3. Step 3: Cross multiply
    5,468.50x = 8,185.74 × 5,293.54
  4. Step 4: Simplify right side
    5,468.50x = 43,331,542.12
  5. Step 5: Solve for x
    x = 43,331,542.12/5,468.50
  6. Step 6: Final answer
    x = 7,923.84

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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.