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Finding the Fourth Proportional to 24,343.80, 36,515.70 and 7,927.80

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Solution

The fourth proportional to 24,343.80, 36,515.70 and 7,927.80 is: 11,891.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,343.80 : 36,515.70 = 7,927.80 : x
  2. Step 2: Convert to fraction form
    24,343.80/36,515.70 = 7,927.80/x
  3. Step 3: Cross multiply
    24,343.80x = 36,515.70 × 7,927.80
  4. Step 4: Simplify right side
    24,343.80x = 289,489,166.46
  5. Step 5: Solve for x
    x = 289,489,166.46/24,343.80
  6. Step 6: Final answer
    x = 11,891.70

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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.