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Finding the Fourth Proportional to 13,906.80, 20,833.32 and 7,732.08

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Solution

The fourth proportional to 13,906.80, 20,833.32 and 7,732.08 is: 11,583.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.80 : 20,833.32 = 7,732.08 : x
  2. Step 2: Convert to fraction form
    13,906.80/20,833.32 = 7,732.08/x
  3. Step 3: Cross multiply
    13,906.80x = 20,833.32 × 7,732.08
  4. Step 4: Simplify right side
    13,906.80x = 161,084,896.91
  5. Step 5: Solve for x
    x = 161,084,896.91/13,906.80
  6. Step 6: Final answer
    x = 11,583.17

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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.