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Finding the Fourth Proportional to 13,157.82, 18,157.77 and 7,189.49

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Solution

The fourth proportional to 13,157.82, 18,157.77 and 7,189.49 is: 9,921.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.82 : 18,157.77 = 7,189.49 : x
  2. Step 2: Convert to fraction form
    13,157.82/18,157.77 = 7,189.49/x
  3. Step 3: Cross multiply
    13,157.82x = 18,157.77 × 7,189.49
  4. Step 4: Simplify right side
    13,157.82x = 130,545,015.05
  5. Step 5: Solve for x
    x = 130,545,015.05/13,157.82
  6. Step 6: Final answer
    x = 9,921.48

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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.