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Finding the Fourth Proportional to 14,134.75, 21,202.14 and 4,900.75

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Solution

The fourth proportional to 14,134.75, 21,202.14 and 4,900.75 is: 7,351.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.75 : 21,202.14 = 4,900.75 : x
  2. Step 2: Convert to fraction form
    14,134.75/21,202.14 = 4,900.75/x
  3. Step 3: Cross multiply
    14,134.75x = 21,202.14 × 4,900.75
  4. Step 4: Simplify right side
    14,134.75x = 103,906,387.61
  5. Step 5: Solve for x
    x = 103,906,387.61/14,134.75
  6. Step 6: Final answer
    x = 7,351.13

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Similar ratio
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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.