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Finding the Fourth Proportional to 13,958.40, 20,935.20 and 5,188.80

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Solution

The fourth proportional to 13,958.40, 20,935.20 and 5,188.80 is: 7,782.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,958.40 : 20,935.20 = 5,188.80 : x
  2. Step 2: Convert to fraction form
    13,958.40/20,935.20 = 5,188.80/x
  3. Step 3: Cross multiply
    13,958.40x = 20,935.20 × 5,188.80
  4. Step 4: Simplify right side
    13,958.40x = 108,628,565.76
  5. Step 5: Solve for x
    x = 108,628,565.76/13,958.40
  6. Step 6: Final answer
    x = 7,782.31

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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.