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Finding the Fourth Proportional to 7,754.32, 11,635.32 and 3,074.23

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Solution

The fourth proportional to 7,754.32, 11,635.32 and 3,074.23 is: 4,612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.32 : 11,635.32 = 3,074.23 : x
  2. Step 2: Convert to fraction form
    7,754.32/11,635.32 = 3,074.23/x
  3. Step 3: Cross multiply
    7,754.32x = 11,635.32 × 3,074.23
  4. Step 4: Simplify right side
    7,754.32x = 35,769,610.43
  5. Step 5: Solve for x
    x = 35,769,610.43/7,754.32
  6. Step 6: Final answer
    x = 4,612.86

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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.