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Finding the Fourth Proportional to 9,668.43, 13,342.34 and 8,874.96

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Solution

The fourth proportional to 9,668.43, 13,342.34 and 8,874.96 is: 12,247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.43 : 13,342.34 = 8,874.96 : x
  2. Step 2: Convert to fraction form
    9,668.43/13,342.34 = 8,874.96/x
  3. Step 3: Cross multiply
    9,668.43x = 13,342.34 × 8,874.96
  4. Step 4: Simplify right side
    9,668.43x = 118,412,689.43
  5. Step 5: Solve for x
    x = 118,412,689.43/9,668.43
  6. Step 6: Final answer
    x = 12,247.36

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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.