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Finding the Fourth Proportional to 12,761.68, 17,611.14 and 7,455.52

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Solution

The fourth proportional to 12,761.68, 17,611.14 and 7,455.52 is: 10,288.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.68 : 17,611.14 = 7,455.52 : x
  2. Step 2: Convert to fraction form
    12,761.68/17,611.14 = 7,455.52/x
  3. Step 3: Cross multiply
    12,761.68x = 17,611.14 × 7,455.52
  4. Step 4: Simplify right side
    12,761.68x = 131,300,206.49
  5. Step 5: Solve for x
    x = 131,300,206.49/12,761.68
  6. Step 6: Final answer
    x = 10,288.63

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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.