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Finding the Fourth Proportional to 11,540.88, 15,934.32 and 7,354.80

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Solution

The fourth proportional to 11,540.88, 15,934.32 and 7,354.80 is: 10,154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.88 : 15,934.32 = 7,354.80 : x
  2. Step 2: Convert to fraction form
    11,540.88/15,934.32 = 7,354.80/x
  3. Step 3: Cross multiply
    11,540.88x = 15,934.32 × 7,354.80
  4. Step 4: Simplify right side
    11,540.88x = 117,193,736.74
  5. Step 5: Solve for x
    x = 117,193,736.74/11,540.88
  6. Step 6: Final answer
    x = 10,154.66

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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.