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Finding the Fourth Proportional to 10,281.82, 14,188.12 and 5,805.97

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Solution

The fourth proportional to 10,281.82, 14,188.12 and 5,805.97 is: 8,011.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.82 : 14,188.12 = 5,805.97 : x
  2. Step 2: Convert to fraction form
    10,281.82/14,188.12 = 5,805.97/x
  3. Step 3: Cross multiply
    10,281.82x = 14,188.12 × 5,805.97
  4. Step 4: Simplify right side
    10,281.82x = 82,375,799.08
  5. Step 5: Solve for x
    x = 82,375,799.08/10,281.82
  6. Step 6: Final answer
    x = 8,011.79

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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.