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Finding the Fourth Proportional to 16,486.75, 22,751.72 and 9,034.75

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Solution

The fourth proportional to 16,486.75, 22,751.72 and 9,034.75 is: 12,467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486.75 : 22,751.72 = 9,034.75 : x
  2. Step 2: Convert to fraction form
    16,486.75/22,751.72 = 9,034.75/x
  3. Step 3: Cross multiply
    16,486.75x = 22,751.72 × 9,034.75
  4. Step 4: Simplify right side
    16,486.75x = 205,556,102.27
  5. Step 5: Solve for x
    x = 205,556,102.27/16,486.75
  6. Step 6: Final answer
    x = 12,467.96

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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.