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Finding the Fourth Proportional to 8,232.84, 12,338.22 and 5,309.64

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Solution

The fourth proportional to 8,232.84, 12,338.22 and 5,309.64 is: 7,957.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.84 : 12,338.22 = 5,309.64 : x
  2. Step 2: Convert to fraction form
    8,232.84/12,338.22 = 5,309.64/x
  3. Step 3: Cross multiply
    8,232.84x = 12,338.22 × 5,309.64
  4. Step 4: Simplify right side
    8,232.84x = 65,511,506.44
  5. Step 5: Solve for x
    x = 65,511,506.44/8,232.84
  6. Step 6: Final answer
    x = 7,957.34

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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.