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Finding the Fourth Proportional to 12,321.71, 17,003.94 and 6,656.44

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Solution

The fourth proportional to 12,321.71, 17,003.94 and 6,656.44 is: 9,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,321.71 : 17,003.94 = 6,656.44 : x
  2. Step 2: Convert to fraction form
    12,321.71/17,003.94 = 6,656.44/x
  3. Step 3: Cross multiply
    12,321.71x = 17,003.94 × 6,656.44
  4. Step 4: Simplify right side
    12,321.71x = 113,185,737.33
  5. Step 5: Solve for x
    x = 113,185,737.33/12,321.71
  6. Step 6: Final answer
    x = 9,185.88

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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.