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Finding the Fourth Proportional to 27,705, 41,558.31 and 6,928.50

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Solution

The fourth proportional to 27,705, 41,558.31 and 6,928.50 is: 10,392.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705 : 41,558.31 = 6,928.50 : x
  2. Step 2: Convert to fraction form
    27,705/41,558.31 = 6,928.50/x
  3. Step 3: Cross multiply
    27,705x = 41,558.31 × 6,928.50
  4. Step 4: Simplify right side
    27,705x = 287,936,750.84
  5. Step 5: Solve for x
    x = 287,936,750.84/27,705
  6. Step 6: Final answer
    x = 10,392.95

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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.