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Finding the Fourth Proportional to 12,850.15, 17,732.22 and 7,813.68

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Solution

The fourth proportional to 12,850.15, 17,732.22 and 7,813.68 is: 10,782.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.15 : 17,732.22 = 7,813.68 : x
  2. Step 2: Convert to fraction form
    12,850.15/17,732.22 = 7,813.68/x
  3. Step 3: Cross multiply
    12,850.15x = 17,732.22 × 7,813.68
  4. Step 4: Simplify right side
    12,850.15x = 138,553,892.77
  5. Step 5: Solve for x
    x = 138,553,892.77/12,850.15
  6. Step 6: Final answer
    x = 10,782.28

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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.