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Finding the Fourth Proportional to 10,713.87, 14,783.07 and 6,936.51

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Solution

The fourth proportional to 10,713.87, 14,783.07 and 6,936.51 is: 9,571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.87 : 14,783.07 = 6,936.51 : x
  2. Step 2: Convert to fraction form
    10,713.87/14,783.07 = 6,936.51/x
  3. Step 3: Cross multiply
    10,713.87x = 14,783.07 × 6,936.51
  4. Step 4: Simplify right side
    10,713.87x = 102,542,912.89
  5. Step 5: Solve for x
    x = 102,542,912.89/10,713.87
  6. Step 6: Final answer
    x = 9,571.04

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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.