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Finding the Fourth Proportional to 6,824.57, 10,257.05 and 5,662.11

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Solution

The fourth proportional to 6,824.57, 10,257.05 and 5,662.11 is: 8,509.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.57 : 10,257.05 = 5,662.11 : x
  2. Step 2: Convert to fraction form
    6,824.57/10,257.05 = 5,662.11/x
  3. Step 3: Cross multiply
    6,824.57x = 10,257.05 × 5,662.11
  4. Step 4: Simplify right side
    6,824.57x = 58,076,517.06
  5. Step 5: Solve for x
    x = 58,076,517.06/6,824.57
  6. Step 6: Final answer
    x = 8,509.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.