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Finding the Fourth Proportional to 6,939.92, 10,409.56 and 2,557.08

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Solution

The fourth proportional to 6,939.92, 10,409.56 and 2,557.08 is: 3,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.92 : 10,409.56 = 2,557.08 : x
  2. Step 2: Convert to fraction form
    6,939.92/10,409.56 = 2,557.08/x
  3. Step 3: Cross multiply
    6,939.92x = 10,409.56 × 2,557.08
  4. Step 4: Simplify right side
    6,939.92x = 26,618,077.68
  5. Step 5: Solve for x
    x = 26,618,077.68/6,939.92
  6. Step 6: Final answer
    x = 3,835.50

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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.