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Finding the Fourth Proportional to 12,204.54, 16,842.96 and 6,899.82

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Solution

The fourth proportional to 12,204.54, 16,842.96 and 6,899.82 is: 9,522.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.54 : 16,842.96 = 6,899.82 : x
  2. Step 2: Convert to fraction form
    12,204.54/16,842.96 = 6,899.82/x
  3. Step 3: Cross multiply
    12,204.54x = 16,842.96 × 6,899.82
  4. Step 4: Simplify right side
    12,204.54x = 116,213,392.27
  5. Step 5: Solve for x
    x = 116,213,392.27/12,204.54
  6. Step 6: Final answer
    x = 9,522.14

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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.