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Finding the Fourth Proportional to 8,232.28, 11,361 and 4,696.24

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Solution

The fourth proportional to 8,232.28, 11,361 and 4,696.24 is: 6,481.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.28 : 11,361 = 4,696.24 : x
  2. Step 2: Convert to fraction form
    8,232.28/11,361 = 4,696.24/x
  3. Step 3: Cross multiply
    8,232.28x = 11,361 × 4,696.24
  4. Step 4: Simplify right side
    8,232.28x = 53,353,982.64
  5. Step 5: Solve for x
    x = 53,353,982.64/8,232.28
  6. Step 6: Final answer
    x = 6,481.07

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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.