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Finding the Fourth Proportional to 6,546.56, 9,813.56 and 4,200

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Solution

The fourth proportional to 6,546.56, 9,813.56 and 4,200 is: 6,295.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.56 : 9,813.56 = 4,200 : x
  2. Step 2: Convert to fraction form
    6,546.56/9,813.56 = 4,200/x
  3. Step 3: Cross multiply
    6,546.56x = 9,813.56 × 4,200
  4. Step 4: Simplify right side
    6,546.56x = 41,216,952
  5. Step 5: Solve for x
    x = 41,216,952/6,546.56
  6. Step 6: Final answer
    x = 6,295.97

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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.