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Finding the Fourth Proportional to 15,083.70, 20,814.12 and 8,369.22

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Solution

The fourth proportional to 15,083.70, 20,814.12 and 8,369.22 is: 11,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,083.70 : 20,814.12 = 8,369.22 : x
  2. Step 2: Convert to fraction form
    15,083.70/20,814.12 = 8,369.22/x
  3. Step 3: Cross multiply
    15,083.70x = 20,814.12 × 8,369.22
  4. Step 4: Simplify right side
    15,083.70x = 174,197,949.39
  5. Step 5: Solve for x
    x = 174,197,949.39/15,083.70
  6. Step 6: Final answer
    x = 11,548.75

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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.