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Finding the Fourth Proportional to 7,684.75, 11,524.55 and 3,003.55

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Solution

The fourth proportional to 7,684.75, 11,524.55 and 3,003.55 is: 4,504.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.75 : 11,524.55 = 3,003.55 : x
  2. Step 2: Convert to fraction form
    7,684.75/11,524.55 = 3,003.55/x
  3. Step 3: Cross multiply
    7,684.75x = 11,524.55 × 3,003.55
  4. Step 4: Simplify right side
    7,684.75x = 34,614,562.15
  5. Step 5: Solve for x
    x = 34,614,562.15/7,684.75
  6. Step 6: Final answer
    x = 4,504.32

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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.