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Finding the Fourth Proportional to 22,409.12, 33,613.80 and 6,827.60

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Solution

The fourth proportional to 22,409.12, 33,613.80 and 6,827.60 is: 10,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,409.12 : 33,613.80 = 6,827.60 : x
  2. Step 2: Convert to fraction form
    22,409.12/33,613.80 = 6,827.60/x
  3. Step 3: Cross multiply
    22,409.12x = 33,613.80 × 6,827.60
  4. Step 4: Simplify right side
    22,409.12x = 229,501,580.88
  5. Step 5: Solve for x
    x = 229,501,580.88/22,409.12
  6. Step 6: Final answer
    x = 10,241.44

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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.