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Finding the Fourth Proportional to 12,673.96, 17,489.92 and 7,084.96

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Solution

The fourth proportional to 12,673.96, 17,489.92 and 7,084.96 is: 9,777.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,673.96 : 17,489.92 = 7,084.96 : x
  2. Step 2: Convert to fraction form
    12,673.96/17,489.92 = 7,084.96/x
  3. Step 3: Cross multiply
    12,673.96x = 17,489.92 × 7,084.96
  4. Step 4: Simplify right side
    12,673.96x = 123,915,383.60
  5. Step 5: Solve for x
    x = 123,915,383.60/12,673.96
  6. Step 6: Final answer
    x = 9,777.16

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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.