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Finding the Fourth Proportional to 13,628.53, 18,806.92 and 7,578.73

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Solution

The fourth proportional to 13,628.53, 18,806.92 and 7,578.73 is: 10,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,628.53 : 18,806.92 = 7,578.73 : x
  2. Step 2: Convert to fraction form
    13,628.53/18,806.92 = 7,578.73/x
  3. Step 3: Cross multiply
    13,628.53x = 18,806.92 × 7,578.73
  4. Step 4: Simplify right side
    13,628.53x = 142,532,568.81
  5. Step 5: Solve for x
    x = 142,532,568.81/13,628.53
  6. Step 6: Final answer
    x = 10,458.40

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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.