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Finding the Fourth Proportional to 35,676.21, 53,510.22 and 11,982.80

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Solution

The fourth proportional to 35,676.21, 53,510.22 and 11,982.80 is: 17,972.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,676.21 : 53,510.22 = 11,982.80 : x
  2. Step 2: Convert to fraction form
    35,676.21/53,510.22 = 11,982.80/x
  3. Step 3: Cross multiply
    35,676.21x = 53,510.22 × 11,982.80
  4. Step 4: Simplify right side
    35,676.21x = 641,202,397.99
  5. Step 5: Solve for x
    x = 641,202,397.99/35,676.21
  6. Step 6: Final answer
    x = 17,972.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.