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Finding the Fourth Proportional to 18,309.44, 27,463.90 and 5,830.24

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Solution

The fourth proportional to 18,309.44, 27,463.90 and 5,830.24 is: 8,745.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,309.44 : 27,463.90 = 5,830.24 : x
  2. Step 2: Convert to fraction form
    18,309.44/27,463.90 = 5,830.24/x
  3. Step 3: Cross multiply
    18,309.44x = 27,463.90 × 5,830.24
  4. Step 4: Simplify right side
    18,309.44x = 160,121,128.34
  5. Step 5: Solve for x
    x = 160,121,128.34/18,309.44
  6. Step 6: Final answer
    x = 8,745.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.