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Finding the Fourth Proportional to 25,309.64, 37,960.68 and 10,314.11

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Solution

The fourth proportional to 25,309.64, 37,960.68 and 10,314.11 is: 15,469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,309.64 : 37,960.68 = 10,314.11 : x
  2. Step 2: Convert to fraction form
    25,309.64/37,960.68 = 10,314.11/x
  3. Step 3: Cross multiply
    25,309.64x = 37,960.68 × 10,314.11
  4. Step 4: Simplify right side
    25,309.64x = 391,530,629.19
  5. Step 5: Solve for x
    x = 391,530,629.19/25,309.64
  6. Step 6: Final answer
    x = 15,469.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.