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Finding the Fourth Proportional to 6,357.75, 8,774.24 and 3,563.79

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Solution

The fourth proportional to 6,357.75, 8,774.24 and 3,563.79 is: 4,918.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.75 : 8,774.24 = 3,563.79 : x
  2. Step 2: Convert to fraction form
    6,357.75/8,774.24 = 3,563.79/x
  3. Step 3: Cross multiply
    6,357.75x = 8,774.24 × 3,563.79
  4. Step 4: Simplify right side
    6,357.75x = 31,269,530.95
  5. Step 5: Solve for x
    x = 31,269,530.95/6,357.75
  6. Step 6: Final answer
    x = 4,918.33

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1.5x scale

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.