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Finding the Fourth Proportional to 6,394.75, 8,824.89 and 3,600.25

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Solution

The fourth proportional to 6,394.75, 8,824.89 and 3,600.25 is: 4,968.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.75 : 8,824.89 = 3,600.25 : x
  2. Step 2: Convert to fraction form
    6,394.75/8,824.89 = 3,600.25/x
  3. Step 3: Cross multiply
    6,394.75x = 8,824.89 × 3,600.25
  4. Step 4: Simplify right side
    6,394.75x = 31,771,810.22
  5. Step 5: Solve for x
    x = 31,771,810.22/6,394.75
  6. Step 6: Final answer
    x = 4,968.42

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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.