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Finding the Fourth Proportional to 12,611.70, 17,404.14 and 7,309.59

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Solution

The fourth proportional to 12,611.70, 17,404.14 and 7,309.59 is: 10,087.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,611.70 : 17,404.14 = 7,309.59 : x
  2. Step 2: Convert to fraction form
    12,611.70/17,404.14 = 7,309.59/x
  3. Step 3: Cross multiply
    12,611.70x = 17,404.14 × 7,309.59
  4. Step 4: Simplify right side
    12,611.70x = 127,217,095.07
  5. Step 5: Solve for x
    x = 127,217,095.07/12,611.70
  6. Step 6: Final answer
    x = 10,087.23

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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.