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Finding the Fourth Proportional to 12,761.50, 17,611.23 and 7,726.63

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Solution

The fourth proportional to 12,761.50, 17,611.23 and 7,726.63 is: 10,662.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.50 : 17,611.23 = 7,726.63 : x
  2. Step 2: Convert to fraction form
    12,761.50/17,611.23 = 7,726.63/x
  3. Step 3: Cross multiply
    12,761.50x = 17,611.23 × 7,726.63
  4. Step 4: Simplify right side
    12,761.50x = 136,075,458.05
  5. Step 5: Solve for x
    x = 136,075,458.05/12,761.50
  6. Step 6: Final answer
    x = 10,662.97

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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.