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Finding the Fourth Proportional to 14,647.66, 20,213.72 and 7,933.27

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Solution

The fourth proportional to 14,647.66, 20,213.72 and 7,933.27 is: 10,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.66 : 20,213.72 = 7,933.27 : x
  2. Step 2: Convert to fraction form
    14,647.66/20,213.72 = 7,933.27/x
  3. Step 3: Cross multiply
    14,647.66x = 20,213.72 × 7,933.27
  4. Step 4: Simplify right side
    14,647.66x = 160,360,838.01
  5. Step 5: Solve for x
    x = 160,360,838.01/14,647.66
  6. Step 6: Final answer
    x = 10,947.88

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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.