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Finding the Fourth Proportional to 6,563.01, 9,057.05 and 3,578.84

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Solution

The fourth proportional to 6,563.01, 9,057.05 and 3,578.84 is: 4,938.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.01 : 9,057.05 = 3,578.84 : x
  2. Step 2: Convert to fraction form
    6,563.01/9,057.05 = 3,578.84/x
  3. Step 3: Cross multiply
    6,563.01x = 9,057.05 × 3,578.84
  4. Step 4: Simplify right side
    6,563.01x = 32,413,669.64
  5. Step 5: Solve for x
    x = 32,413,669.64/6,563.01
  6. Step 6: Final answer
    x = 4,938.84

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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.