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Finding the Fourth Proportional to 9,843.94, 14,749.46 and 6,917

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Solution

The fourth proportional to 9,843.94, 14,749.46 and 6,917 is: 10,363.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.94 : 14,749.46 = 6,917 : x
  2. Step 2: Convert to fraction form
    9,843.94/14,749.46 = 6,917/x
  3. Step 3: Cross multiply
    9,843.94x = 14,749.46 × 6,917
  4. Step 4: Simplify right side
    9,843.94x = 102,022,014.82
  5. Step 5: Solve for x
    x = 102,022,014.82/9,843.94
  6. Step 6: Final answer
    x = 10,363.95

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1.5x scale

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.