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Finding the Fourth Proportional to 13,608.14, 18,777.83 and 7,640.46

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Solution

The fourth proportional to 13,608.14, 18,777.83 and 7,640.46 is: 10,543.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,608.14 : 18,777.83 = 7,640.46 : x
  2. Step 2: Convert to fraction form
    13,608.14/18,777.83 = 7,640.46/x
  3. Step 3: Cross multiply
    13,608.14x = 18,777.83 × 7,640.46
  4. Step 4: Simplify right side
    13,608.14x = 143,471,220.80
  5. Step 5: Solve for x
    x = 143,471,220.80/13,608.14
  6. Step 6: Final answer
    x = 10,543.05

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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.