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Finding the Fourth Proportional to 13,642.71, 20,458.09 and 6,884.14

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Solution

The fourth proportional to 13,642.71, 20,458.09 and 6,884.14 is: 10,323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.71 : 20,458.09 = 6,884.14 : x
  2. Step 2: Convert to fraction form
    13,642.71/20,458.09 = 6,884.14/x
  3. Step 3: Cross multiply
    13,642.71x = 20,458.09 × 6,884.14
  4. Step 4: Simplify right side
    13,642.71x = 140,836,355.69
  5. Step 5: Solve for x
    x = 140,836,355.69/13,642.71
  6. Step 6: Final answer
    x = 10,323.20

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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.