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Finding the Fourth Proportional to 13,059, 18,022.50 and 7,471.08

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Solution

The fourth proportional to 13,059, 18,022.50 and 7,471.08 is: 10,310.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,059 : 18,022.50 = 7,471.08 : x
  2. Step 2: Convert to fraction form
    13,059/18,022.50 = 7,471.08/x
  3. Step 3: Cross multiply
    13,059x = 18,022.50 × 7,471.08
  4. Step 4: Simplify right side
    13,059x = 134,647,539.30
  5. Step 5: Solve for x
    x = 134,647,539.30/13,059
  6. Step 6: Final answer
    x = 10,310.71

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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.