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Finding the Fourth Proportional to 24,649, 36,982.14 and 10,799.08

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Solution

The fourth proportional to 24,649, 36,982.14 and 10,799.08 is: 16,202.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,649 : 36,982.14 = 10,799.08 : x
  2. Step 2: Convert to fraction form
    24,649/36,982.14 = 10,799.08/x
  3. Step 3: Cross multiply
    24,649x = 36,982.14 × 10,799.08
  4. Step 4: Simplify right side
    24,649x = 399,373,088.43
  5. Step 5: Solve for x
    x = 399,373,088.43/24,649
  6. Step 6: Final answer
    x = 16,202.41

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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.