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Finding the Fourth Proportional to 10,481.94, 14,471.04 and 6,949.92

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Solution

The fourth proportional to 10,481.94, 14,471.04 and 6,949.92 is: 9,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.94 : 14,471.04 = 6,949.92 : x
  2. Step 2: Convert to fraction form
    10,481.94/14,471.04 = 6,949.92/x
  3. Step 3: Cross multiply
    10,481.94x = 14,471.04 × 6,949.92
  4. Step 4: Simplify right side
    10,481.94x = 100,572,570.32
  5. Step 5: Solve for x
    x = 100,572,570.32/10,481.94
  6. Step 6: Final answer
    x = 9,594.84

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1.5x scale

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.