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Finding the Fourth Proportional to 18,585, 25,647.39 and 10,201.50

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Solution

The fourth proportional to 18,585, 25,647.39 and 10,201.50 is: 14,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,585 : 25,647.39 = 10,201.50 : x
  2. Step 2: Convert to fraction form
    18,585/25,647.39 = 10,201.50/x
  3. Step 3: Cross multiply
    18,585x = 25,647.39 × 10,201.50
  4. Step 4: Simplify right side
    18,585x = 261,641,849.09
  5. Step 5: Solve for x
    x = 261,641,849.09/18,585
  6. Step 6: Final answer
    x = 14,078.12

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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.