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Finding the Fourth Proportional to 12,287.28, 16,956.32 and 6,698.32

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Solution

The fourth proportional to 12,287.28, 16,956.32 and 6,698.32 is: 9,243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.28 : 16,956.32 = 6,698.32 : x
  2. Step 2: Convert to fraction form
    12,287.28/16,956.32 = 6,698.32/x
  3. Step 3: Cross multiply
    12,287.28x = 16,956.32 × 6,698.32
  4. Step 4: Simplify right side
    12,287.28x = 113,578,857.38
  5. Step 5: Solve for x
    x = 113,578,857.38/12,287.28
  6. Step 6: Final answer
    x = 9,243.61

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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.