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Finding the Fourth Proportional to 12,834.41, 17,710.97 and 7,169.07

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Solution

The fourth proportional to 12,834.41, 17,710.97 and 7,169.07 is: 9,893.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.41 : 17,710.97 = 7,169.07 : x
  2. Step 2: Convert to fraction form
    12,834.41/17,710.97 = 7,169.07/x
  3. Step 3: Cross multiply
    12,834.41x = 17,710.97 × 7,169.07
  4. Step 4: Simplify right side
    12,834.41x = 126,971,241.55
  5. Step 5: Solve for x
    x = 126,971,241.55/12,834.41
  6. Step 6: Final answer
    x = 9,893.03

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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.