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Finding the Fourth Proportional to 12,524.91, 18,791.29 and 7,532.74

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Solution

The fourth proportional to 12,524.91, 18,791.29 and 7,532.74 is: 11,301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.91 : 18,791.29 = 7,532.74 : x
  2. Step 2: Convert to fraction form
    12,524.91/18,791.29 = 7,532.74/x
  3. Step 3: Cross multiply
    12,524.91x = 18,791.29 × 7,532.74
  4. Step 4: Simplify right side
    12,524.91x = 141,549,934.74
  5. Step 5: Solve for x
    x = 141,549,934.74/12,524.91
  6. Step 6: Final answer
    x = 11,301.48

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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.