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Finding the Fourth Proportional to 12,204.97, 16,842.81 and 6,827.41

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Solution

The fourth proportional to 12,204.97, 16,842.81 and 6,827.41 is: 9,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.97 : 16,842.81 = 6,827.41 : x
  2. Step 2: Convert to fraction form
    12,204.97/16,842.81 = 6,827.41/x
  3. Step 3: Cross multiply
    12,204.97x = 16,842.81 × 6,827.41
  4. Step 4: Simplify right side
    12,204.97x = 114,992,769.42
  5. Step 5: Solve for x
    x = 114,992,769.42/12,204.97
  6. Step 6: Final answer
    x = 9,421.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.