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Finding the Fourth Proportional to 23,788.34, 35,683.10 and 7,993.60

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Solution

The fourth proportional to 23,788.34, 35,683.10 and 7,993.60 is: 11,990.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,788.34 : 35,683.10 = 7,993.60 : x
  2. Step 2: Convert to fraction form
    23,788.34/35,683.10 = 7,993.60/x
  3. Step 3: Cross multiply
    23,788.34x = 35,683.10 × 7,993.60
  4. Step 4: Simplify right side
    23,788.34x = 285,236,432.80
  5. Step 5: Solve for x
    x = 285,236,432.80/23,788.34
  6. Step 6: Final answer
    x = 11,990.60

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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.