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Finding the Fourth Proportional to 6,507.56, 9,761.34 and 3,728.30

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Solution

The fourth proportional to 6,507.56, 9,761.34 and 3,728.30 is: 5,592.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.56 : 9,761.34 = 3,728.30 : x
  2. Step 2: Convert to fraction form
    6,507.56/9,761.34 = 3,728.30/x
  3. Step 3: Cross multiply
    6,507.56x = 9,761.34 × 3,728.30
  4. Step 4: Simplify right side
    6,507.56x = 36,393,203.92
  5. Step 5: Solve for x
    x = 36,393,203.92/6,507.56
  6. Step 6: Final answer
    x = 5,592.45

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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.