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Finding the Fourth Proportional to 6,434.56, 9,645.44 and 3,655.48

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Solution

The fourth proportional to 6,434.56, 9,645.44 and 3,655.48 is: 5,479.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.56 : 9,645.44 = 3,655.48 : x
  2. Step 2: Convert to fraction form
    6,434.56/9,645.44 = 3,655.48/x
  3. Step 3: Cross multiply
    6,434.56x = 9,645.44 × 3,655.48
  4. Step 4: Simplify right side
    6,434.56x = 35,258,713.01
  5. Step 5: Solve for x
    x = 35,258,713.01/6,434.56
  6. Step 6: Final answer
    x = 5,479.58

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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.