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Finding the Fourth Proportional to 11,762.24, 17,634.06 and 8,053.20

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Solution

The fourth proportional to 11,762.24, 17,634.06 and 8,053.20 is: 12,073.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.24 : 17,634.06 = 8,053.20 : x
  2. Step 2: Convert to fraction form
    11,762.24/17,634.06 = 8,053.20/x
  3. Step 3: Cross multiply
    11,762.24x = 17,634.06 × 8,053.20
  4. Step 4: Simplify right side
    11,762.24x = 142,010,611.99
  5. Step 5: Solve for x
    x = 142,010,611.99/11,762.24
  6. Step 6: Final answer
    x = 12,073.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.