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Finding the Fourth Proportional to 24,343.75, 36,515.67 and 7,927.75

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Solution

The fourth proportional to 24,343.75, 36,515.67 and 7,927.75 is: 11,891.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,343.75 : 36,515.67 = 7,927.75 : x
  2. Step 2: Convert to fraction form
    24,343.75/36,515.67 = 7,927.75/x
  3. Step 3: Cross multiply
    24,343.75x = 36,515.67 × 7,927.75
  4. Step 4: Simplify right side
    24,343.75x = 289,487,102.84
  5. Step 5: Solve for x
    x = 289,487,102.84/24,343.75
  6. Step 6: Final answer
    x = 11,891.64

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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.