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Finding the Fourth Proportional to 11,414.36, 15,753.40 and 6,698.64

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Solution

The fourth proportional to 11,414.36, 15,753.40 and 6,698.64 is: 9,245.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.36 : 15,753.40 = 6,698.64 : x
  2. Step 2: Convert to fraction form
    11,414.36/15,753.40 = 6,698.64/x
  3. Step 3: Cross multiply
    11,414.36x = 15,753.40 × 6,698.64
  4. Step 4: Simplify right side
    11,414.36x = 105,526,355.38
  5. Step 5: Solve for x
    x = 105,526,355.38/11,414.36
  6. Step 6: Final answer
    x = 9,245.05

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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.