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Finding the Fourth Proportional to 6,496.56, 8,962.38 and 5,103.36

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Solution

The fourth proportional to 6,496.56, 8,962.38 and 5,103.36 is: 7,040.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.56 : 8,962.38 = 5,103.36 : x
  2. Step 2: Convert to fraction form
    6,496.56/8,962.38 = 5,103.36/x
  3. Step 3: Cross multiply
    6,496.56x = 8,962.38 × 5,103.36
  4. Step 4: Simplify right side
    6,496.56x = 45,738,251.60
  5. Step 5: Solve for x
    x = 45,738,251.60/6,496.56
  6. Step 6: Final answer
    x = 7,040.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.