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Finding the Fourth Proportional to 11,744.57, 16,214.51 and 7,769.09

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Solution

The fourth proportional to 11,744.57, 16,214.51 and 7,769.09 is: 10,725.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.57 : 16,214.51 = 7,769.09 : x
  2. Step 2: Convert to fraction form
    11,744.57/16,214.51 = 7,769.09/x
  3. Step 3: Cross multiply
    11,744.57x = 16,214.51 × 7,769.09
  4. Step 4: Simplify right side
    11,744.57x = 125,971,987.50
  5. Step 5: Solve for x
    x = 125,971,987.50/11,744.57
  6. Step 6: Final answer
    x = 10,725.98

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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.