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Finding the Fourth Proportional to 16,686, 25,041.15 and 6,297.75

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Solution

The fourth proportional to 16,686, 25,041.15 and 6,297.75 is: 9,451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,686 : 25,041.15 = 6,297.75 : x
  2. Step 2: Convert to fraction form
    16,686/25,041.15 = 6,297.75/x
  3. Step 3: Cross multiply
    16,686x = 25,041.15 × 6,297.75
  4. Step 4: Simplify right side
    16,686x = 157,702,902.41
  5. Step 5: Solve for x
    x = 157,702,902.41/16,686
  6. Step 6: Final answer
    x = 9,451.21

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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.