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Finding the Fourth Proportional to 18,564, 25,618.32 and 10,180.68

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Solution

The fourth proportional to 18,564, 25,618.32 and 10,180.68 is: 14,049.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564 : 25,618.32 = 10,180.68 : x
  2. Step 2: Convert to fraction form
    18,564/25,618.32 = 10,180.68/x
  3. Step 3: Cross multiply
    18,564x = 25,618.32 × 10,180.68
  4. Step 4: Simplify right side
    18,564x = 260,811,918.06
  5. Step 5: Solve for x
    x = 260,811,918.06/18,564
  6. Step 6: Final answer
    x = 14,049.34

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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.