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Finding the Fourth Proportional to 27,197.64, 40,748.13 and 11,367.78

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Solution

The fourth proportional to 27,197.64, 40,748.13 and 11,367.78 is: 17,031.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,197.64 : 40,748.13 = 11,367.78 : x
  2. Step 2: Convert to fraction form
    27,197.64/40,748.13 = 11,367.78/x
  3. Step 3: Cross multiply
    27,197.64x = 40,748.13 × 11,367.78
  4. Step 4: Simplify right side
    27,197.64x = 463,215,777.25
  5. Step 5: Solve for x
    x = 463,215,777.25/27,197.64
  6. Step 6: Final answer
    x = 17,031.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.