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Finding the Fourth Proportional to 10,678.38, 14,736.73 and 6,141

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Solution

The fourth proportional to 10,678.38, 14,736.73 and 6,141 is: 8,474.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.38 : 14,736.73 = 6,141 : x
  2. Step 2: Convert to fraction form
    10,678.38/14,736.73 = 6,141/x
  3. Step 3: Cross multiply
    10,678.38x = 14,736.73 × 6,141
  4. Step 4: Simplify right side
    10,678.38x = 90,498,258.93
  5. Step 5: Solve for x
    x = 90,498,258.93/10,678.38
  6. Step 6: Final answer
    x = 8,474.91

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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.