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Finding the Fourth Proportional to 6,309.84, 8,701.92 and 3,952.24

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Solution

The fourth proportional to 6,309.84, 8,701.92 and 3,952.24 is: 5,450.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.84 : 8,701.92 = 3,952.24 : x
  2. Step 2: Convert to fraction form
    6,309.84/8,701.92 = 3,952.24/x
  3. Step 3: Cross multiply
    6,309.84x = 8,701.92 × 3,952.24
  4. Step 4: Simplify right side
    6,309.84x = 34,392,076.30
  5. Step 5: Solve for x
    x = 34,392,076.30/6,309.84
  6. Step 6: Final answer
    x = 5,450.55

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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.