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Finding the Fourth Proportional to 12,446, 18,670.44 and 4,127.12

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Solution

The fourth proportional to 12,446, 18,670.44 and 4,127.12 is: 6,191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446 : 18,670.44 = 4,127.12 : x
  2. Step 2: Convert to fraction form
    12,446/18,670.44 = 4,127.12/x
  3. Step 3: Cross multiply
    12,446x = 18,670.44 × 4,127.12
  4. Step 4: Simplify right side
    12,446x = 77,055,146.33
  5. Step 5: Solve for x
    x = 77,055,146.33/12,446
  6. Step 6: Final answer
    x = 6,191.16

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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.