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Finding the Fourth Proportional to 6,563.25, 9,057.29 and 4,206.76

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Solution

The fourth proportional to 6,563.25, 9,057.29 and 4,206.76 is: 5,805.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.25 : 9,057.29 = 4,206.76 : x
  2. Step 2: Convert to fraction form
    6,563.25/9,057.29 = 4,206.76/x
  3. Step 3: Cross multiply
    6,563.25x = 9,057.29 × 4,206.76
  4. Step 4: Simplify right side
    6,563.25x = 38,101,801.60
  5. Step 5: Solve for x
    x = 38,101,801.60/6,563.25
  6. Step 6: Final answer
    x = 5,805.33

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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.