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Finding the Fourth Proportional to 7,141.56, 10,710.72 and 2,524.56

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Solution

The fourth proportional to 7,141.56, 10,710.72 and 2,524.56 is: 3,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.56 : 10,710.72 = 2,524.56 : x
  2. Step 2: Convert to fraction form
    7,141.56/10,710.72 = 2,524.56/x
  3. Step 3: Cross multiply
    7,141.56x = 10,710.72 × 2,524.56
  4. Step 4: Simplify right side
    7,141.56x = 27,039,855.28
  5. Step 5: Solve for x
    x = 27,039,855.28/7,141.56
  6. Step 6: Final answer
    x = 3,786.27

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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.