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Finding the Fourth Proportional to 12,245, 18,311.42 and 9,127.20

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Solution

The fourth proportional to 12,245, 18,311.42 and 9,127.20 is: 13,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,245 : 18,311.42 = 9,127.20 : x
  2. Step 2: Convert to fraction form
    12,245/18,311.42 = 9,127.20/x
  3. Step 3: Cross multiply
    12,245x = 18,311.42 × 9,127.20
  4. Step 4: Simplify right side
    12,245x = 167,131,992.62
  5. Step 5: Solve for x
    x = 167,131,992.62/12,245
  6. Step 6: Final answer
    x = 13,649.00

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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.