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Finding the Fourth Proportional to 24,546.22, 36,820.14 and 7,016.20

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Solution

The fourth proportional to 24,546.22, 36,820.14 and 7,016.20 is: 10,524.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,546.22 : 36,820.14 = 7,016.20 : x
  2. Step 2: Convert to fraction form
    24,546.22/36,820.14 = 7,016.20/x
  3. Step 3: Cross multiply
    24,546.22x = 36,820.14 × 7,016.20
  4. Step 4: Simplify right side
    24,546.22x = 258,337,466.27
  5. Step 5: Solve for x
    x = 258,337,466.27/24,546.22
  6. Step 6: Final answer
    x = 10,524.53

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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.