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Finding the Fourth Proportional to 13,768.57, 18,999.97 and 7,800.28

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Solution

The fourth proportional to 13,768.57, 18,999.97 and 7,800.28 is: 10,764.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.57 : 18,999.97 = 7,800.28 : x
  2. Step 2: Convert to fraction form
    13,768.57/18,999.97 = 7,800.28/x
  3. Step 3: Cross multiply
    13,768.57x = 18,999.97 × 7,800.28
  4. Step 4: Simplify right side
    13,768.57x = 148,205,125.87
  5. Step 5: Solve for x
    x = 148,205,125.87/13,768.57
  6. Step 6: Final answer
    x = 10,764.02

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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.