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Finding the Fourth Proportional to 12,832, 17,708.16 and 6,944

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Solution

The fourth proportional to 12,832, 17,708.16 and 6,944 is: 9,582.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832 : 17,708.16 = 6,944 : x
  2. Step 2: Convert to fraction form
    12,832/17,708.16 = 6,944/x
  3. Step 3: Cross multiply
    12,832x = 17,708.16 × 6,944
  4. Step 4: Simplify right side
    12,832x = 122,965,463.04
  5. Step 5: Solve for x
    x = 122,965,463.04/12,832
  6. Step 6: Final answer
    x = 9,582.72

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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.