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Finding the Fourth Proportional to 12,427.88, 17,150.49 and 6,838.88

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Solution

The fourth proportional to 12,427.88, 17,150.49 and 6,838.88 is: 9,437.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.88 : 17,150.49 = 6,838.88 : x
  2. Step 2: Convert to fraction form
    12,427.88/17,150.49 = 6,838.88/x
  3. Step 3: Cross multiply
    12,427.88x = 17,150.49 × 6,838.88
  4. Step 4: Simplify right side
    12,427.88x = 117,290,057.30
  5. Step 5: Solve for x
    x = 117,290,057.30/12,427.88
  6. Step 6: Final answer
    x = 9,437.66

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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.