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Finding the Fourth Proportional to 7,704.56, 11,549.56 and 3,753.32

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Solution

The fourth proportional to 7,704.56, 11,549.56 and 3,753.32 is: 5,626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.56 : 11,549.56 = 3,753.32 : x
  2. Step 2: Convert to fraction form
    7,704.56/11,549.56 = 3,753.32/x
  3. Step 3: Cross multiply
    7,704.56x = 11,549.56 × 3,753.32
  4. Step 4: Simplify right side
    7,704.56x = 43,349,194.54
  5. Step 5: Solve for x
    x = 43,349,194.54/7,704.56
  6. Step 6: Final answer
    x = 5,626.43

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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.