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Finding the Fourth Proportional to 22,558.16, 33,840.48 and 6,977

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Solution

The fourth proportional to 22,558.16, 33,840.48 and 6,977 is: 10,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,558.16 : 33,840.48 = 6,977 : x
  2. Step 2: Convert to fraction form
    22,558.16/33,840.48 = 6,977/x
  3. Step 3: Cross multiply
    22,558.16x = 33,840.48 × 6,977
  4. Step 4: Simplify right side
    22,558.16x = 236,105,028.96
  5. Step 5: Solve for x
    x = 236,105,028.96/22,558.16
  6. Step 6: Final answer
    x = 10,466.50

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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.