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Finding the Fourth Proportional to 13,683.25, 20,524.88 and 3,295

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Solution

The fourth proportional to 13,683.25, 20,524.88 and 3,295 is: 4,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.25 : 20,524.88 = 3,295 : x
  2. Step 2: Convert to fraction form
    13,683.25/20,524.88 = 3,295/x
  3. Step 3: Cross multiply
    13,683.25x = 20,524.88 × 3,295
  4. Step 4: Simplify right side
    13,683.25x = 67,629,479.60
  5. Step 5: Solve for x
    x = 67,629,479.60/13,683.25
  6. Step 6: Final answer
    x = 4,942.50

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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.