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Finding the Fourth Proportional to 12,761.75, 17,611.80 and 7,097.07

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Solution

The fourth proportional to 12,761.75, 17,611.80 and 7,097.07 is: 9,794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.75 : 17,611.80 = 7,097.07 : x
  2. Step 2: Convert to fraction form
    12,761.75/17,611.80 = 7,097.07/x
  3. Step 3: Cross multiply
    12,761.75x = 17,611.80 × 7,097.07
  4. Step 4: Simplify right side
    12,761.75x = 124,992,177.43
  5. Step 5: Solve for x
    x = 124,992,177.43/12,761.75
  6. Step 6: Final answer
    x = 9,794.28

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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.