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Finding the Fourth Proportional to 18,786, 25,924.32 and 10,827.78

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Solution

The fourth proportional to 18,786, 25,924.32 and 10,827.78 is: 14,942.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,786 : 25,924.32 = 10,827.78 : x
  2. Step 2: Convert to fraction form
    18,786/25,924.32 = 10,827.78/x
  3. Step 3: Cross multiply
    18,786x = 25,924.32 × 10,827.78
  4. Step 4: Simplify right side
    18,786x = 280,702,833.61
  5. Step 5: Solve for x
    x = 280,702,833.61/18,786
  6. Step 6: Final answer
    x = 14,942.13

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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.