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Finding the Fourth Proportional to 18,775.71, 25,911.14 and 10,277.84

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Solution

The fourth proportional to 18,775.71, 25,911.14 and 10,277.84 is: 14,183.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,775.71 : 25,911.14 = 10,277.84 : x
  2. Step 2: Convert to fraction form
    18,775.71/25,911.14 = 10,277.84/x
  3. Step 3: Cross multiply
    18,775.71x = 25,911.14 × 10,277.84
  4. Step 4: Simplify right side
    18,775.71x = 266,310,551.14
  5. Step 5: Solve for x
    x = 266,310,551.14/18,775.71
  6. Step 6: Final answer
    x = 14,183.78

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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.