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Finding the Fourth Proportional to 9,668.98, 13,343.97 and 8,094.34

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Solution

The fourth proportional to 9,668.98, 13,343.97 and 8,094.34 is: 11,170.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.98 : 13,343.97 = 8,094.34 : x
  2. Step 2: Convert to fraction form
    9,668.98/13,343.97 = 8,094.34/x
  3. Step 3: Cross multiply
    9,668.98x = 13,343.97 × 8,094.34
  4. Step 4: Simplify right side
    9,668.98x = 108,010,630.13
  5. Step 5: Solve for x
    x = 108,010,630.13/9,668.98
  6. Step 6: Final answer
    x = 11,170.84

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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.