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Finding the Fourth Proportional to 12,203.46, 16,840.80 and 6,614.46

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Solution

The fourth proportional to 12,203.46, 16,840.80 and 6,614.46 is: 9,127.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.46 : 16,840.80 = 6,614.46 : x
  2. Step 2: Convert to fraction form
    12,203.46/16,840.80 = 6,614.46/x
  3. Step 3: Cross multiply
    12,203.46x = 16,840.80 × 6,614.46
  4. Step 4: Simplify right side
    12,203.46x = 111,392,797.97
  5. Step 5: Solve for x
    x = 111,392,797.97/12,203.46
  6. Step 6: Final answer
    x = 9,127.97

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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.