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Finding the Fourth Proportional to 13,157.54, 18,157.12 and 7,189.24

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Solution

The fourth proportional to 13,157.54, 18,157.12 and 7,189.24 is: 9,921.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.54 : 18,157.12 = 7,189.24 : x
  2. Step 2: Convert to fraction form
    13,157.54/18,157.12 = 7,189.24/x
  3. Step 3: Cross multiply
    13,157.54x = 18,157.12 × 7,189.24
  4. Step 4: Simplify right side
    13,157.54x = 130,535,893.39
  5. Step 5: Solve for x
    x = 130,535,893.39/13,157.54
  6. Step 6: Final answer
    x = 9,921.00

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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.