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Finding the Fourth Proportional to 10,273.80, 14,179.14 and 5,797.80

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Solution

The fourth proportional to 10,273.80, 14,179.14 and 5,797.80 is: 8,001.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.80 : 14,179.14 = 5,797.80 : x
  2. Step 2: Convert to fraction form
    10,273.80/14,179.14 = 5,797.80/x
  3. Step 3: Cross multiply
    10,273.80x = 14,179.14 × 5,797.80
  4. Step 4: Simplify right side
    10,273.80x = 82,207,817.89
  5. Step 5: Solve for x
    x = 82,207,817.89/10,273.80
  6. Step 6: Final answer
    x = 8,001.70

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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.