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Finding the Fourth Proportional to 6,441.56, 9,655.94 and 3,662.48

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Solution

The fourth proportional to 6,441.56, 9,655.94 and 3,662.48 is: 5,490.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.56 : 9,655.94 = 3,662.48 : x
  2. Step 2: Convert to fraction form
    6,441.56/9,655.94 = 3,662.48/x
  3. Step 3: Cross multiply
    6,441.56x = 9,655.94 × 3,662.48
  4. Step 4: Simplify right side
    6,441.56x = 35,364,687.13
  5. Step 5: Solve for x
    x = 35,364,687.13/6,441.56
  6. Step 6: Final answer
    x = 5,490.08

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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.