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Finding the Fourth Proportional to 11,750.28, 16,213.86 and 7,033.56

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Solution

The fourth proportional to 11,750.28, 16,213.86 and 7,033.56 is: 9,705.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.28 : 16,213.86 = 7,033.56 : x
  2. Step 2: Convert to fraction form
    11,750.28/16,213.86 = 7,033.56/x
  3. Step 3: Cross multiply
    11,750.28x = 16,213.86 × 7,033.56
  4. Step 4: Simplify right side
    11,750.28x = 114,041,157.14
  5. Step 5: Solve for x
    x = 114,041,157.14/11,750.28
  6. Step 6: Final answer
    x = 9,705.40

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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.