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Finding the Fourth Proportional to 13,762.14, 18,992.21 and 8,095.88

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Solution

The fourth proportional to 13,762.14, 18,992.21 and 8,095.88 is: 11,172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.14 : 18,992.21 = 8,095.88 : x
  2. Step 2: Convert to fraction form
    13,762.14/18,992.21 = 8,095.88/x
  3. Step 3: Cross multiply
    13,762.14x = 18,992.21 × 8,095.88
  4. Step 4: Simplify right side
    13,762.14x = 153,758,517.65
  5. Step 5: Solve for x
    x = 153,758,517.65/13,762.14
  6. Step 6: Final answer
    x = 11,172.57

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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.