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Finding the Fourth Proportional to 13,504.52, 18,635.87 and 7,838.94

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Solution

The fourth proportional to 13,504.52, 18,635.87 and 7,838.94 is: 10,817.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.52 : 18,635.87 = 7,838.94 : x
  2. Step 2: Convert to fraction form
    13,504.52/18,635.87 = 7,838.94/x
  3. Step 3: Cross multiply
    13,504.52x = 18,635.87 × 7,838.94
  4. Step 4: Simplify right side
    13,504.52x = 146,085,556.26
  5. Step 5: Solve for x
    x = 146,085,556.26/13,504.52
  6. Step 6: Final answer
    x = 10,817.53

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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.