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Finding the Fourth Proportional to 8,281.70, 11,422.82 and 5,764.69

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Solution

The fourth proportional to 8,281.70, 11,422.82 and 5,764.69 is: 7,951.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.70 : 11,422.82 = 5,764.69 : x
  2. Step 2: Convert to fraction form
    8,281.70/11,422.82 = 5,764.69/x
  3. Step 3: Cross multiply
    8,281.70x = 11,422.82 × 5,764.69
  4. Step 4: Simplify right side
    8,281.70x = 65,848,958.85
  5. Step 5: Solve for x
    x = 65,848,958.85/8,281.70
  6. Step 6: Final answer
    x = 7,951.14

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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.