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Finding the Fourth Proportional to 6,232.49, 8,596.97 and 3,712.88

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Solution

The fourth proportional to 6,232.49, 8,596.97 and 3,712.88 is: 5,121.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.49 : 8,596.97 = 3,712.88 : x
  2. Step 2: Convert to fraction form
    6,232.49/8,596.97 = 3,712.88/x
  3. Step 3: Cross multiply
    6,232.49x = 8,596.97 × 3,712.88
  4. Step 4: Simplify right side
    6,232.49x = 31,919,534.82
  5. Step 5: Solve for x
    x = 31,919,534.82/6,232.49
  6. Step 6: Final answer
    x = 5,121.47

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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.