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Finding the Fourth Proportional to 12,524.86, 17,282.21 and 7,491.14

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Solution

The fourth proportional to 12,524.86, 17,282.21 and 7,491.14 is: 10,336.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.86 : 17,282.21 = 7,491.14 : x
  2. Step 2: Convert to fraction form
    12,524.86/17,282.21 = 7,491.14/x
  3. Step 3: Cross multiply
    12,524.86x = 17,282.21 × 7,491.14
  4. Step 4: Simplify right side
    12,524.86x = 129,463,454.62
  5. Step 5: Solve for x
    x = 129,463,454.62/12,524.86
  6. Step 6: Final answer
    x = 10,336.52

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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.