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Finding the Fourth Proportional to 23,857.53, 35,786.31 and 8,275.17

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Solution

The fourth proportional to 23,857.53, 35,786.31 and 8,275.17 is: 12,412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,857.53 : 35,786.31 = 8,275.17 : x
  2. Step 2: Convert to fraction form
    23,857.53/35,786.31 = 8,275.17/x
  3. Step 3: Cross multiply
    23,857.53x = 35,786.31 × 8,275.17
  4. Step 4: Simplify right side
    23,857.53x = 296,137,798.92
  5. Step 5: Solve for x
    x = 296,137,798.92/23,857.53
  6. Step 6: Final answer
    x = 12,412.76

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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.