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Finding the Fourth Proportional to 22,558.16, 33,840.48 and 6,977.12

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Solution

The fourth proportional to 22,558.16, 33,840.48 and 6,977.12 is: 10,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,558.16 : 33,840.48 = 6,977.12 : x
  2. Step 2: Convert to fraction form
    22,558.16/33,840.48 = 6,977.12/x
  3. Step 3: Cross multiply
    22,558.16x = 33,840.48 × 6,977.12
  4. Step 4: Simplify right side
    22,558.16x = 236,109,089.82
  5. Step 5: Solve for x
    x = 236,109,089.82/22,558.16
  6. Step 6: Final answer
    x = 10,466.68

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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.