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Finding the Fourth Proportional to 22,408.34, 33,617.52 and 6,827.18

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Solution

The fourth proportional to 22,408.34, 33,617.52 and 6,827.18 is: 10,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,408.34 : 33,617.52 = 6,827.18 : x
  2. Step 2: Convert to fraction form
    22,408.34/33,617.52 = 6,827.18/x
  3. Step 3: Cross multiply
    22,408.34x = 33,617.52 × 6,827.18
  4. Step 4: Simplify right side
    22,408.34x = 229,512,860.19
  5. Step 5: Solve for x
    x = 229,512,860.19/22,408.34
  6. Step 6: Final answer
    x = 10,242.30

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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.