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Finding the Fourth Proportional to 12,507.66, 17,266.84 and 9,668.62

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Solution

The fourth proportional to 12,507.66, 17,266.84 and 9,668.62 is: 13,347.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,507.66 : 17,266.84 = 9,668.62 : x
  2. Step 2: Convert to fraction form
    12,507.66/17,266.84 = 9,668.62/x
  3. Step 3: Cross multiply
    12,507.66x = 17,266.84 × 9,668.62
  4. Step 4: Simplify right side
    12,507.66x = 166,946,514.56
  5. Step 5: Solve for x
    x = 166,946,514.56/12,507.66
  6. Step 6: Final answer
    x = 13,347.54

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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.