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Finding the Fourth Proportional to 12,774.09, 17,628.08 and 7,185.09

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Solution

The fourth proportional to 12,774.09, 17,628.08 and 7,185.09 is: 9,915.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.09 : 17,628.08 = 7,185.09 : x
  2. Step 2: Convert to fraction form
    12,774.09/17,628.08 = 7,185.09/x
  3. Step 3: Cross multiply
    12,774.09x = 17,628.08 × 7,185.09
  4. Step 4: Simplify right side
    12,774.09x = 126,659,305.40
  5. Step 5: Solve for x
    x = 126,659,305.40/12,774.09
  6. Step 6: Final answer
    x = 9,915.33

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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.