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Finding the Fourth Proportional to 13,157.92, 18,157.69 and 7,189.43

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Solution

The fourth proportional to 13,157.92, 18,157.69 and 7,189.43 is: 9,921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.92 : 18,157.69 = 7,189.43 : x
  2. Step 2: Convert to fraction form
    13,157.92/18,157.69 = 7,189.43/x
  3. Step 3: Cross multiply
    13,157.92x = 18,157.69 × 7,189.43
  4. Step 4: Simplify right side
    13,157.92x = 130,543,441.22
  5. Step 5: Solve for x
    x = 130,543,441.22/13,157.92
  6. Step 6: Final answer
    x = 9,921.28

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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.