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Finding the Fourth Proportional to 5,662.75, 7,814.64 and 3,306.46

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Solution

The fourth proportional to 5,662.75, 7,814.64 and 3,306.46 is: 4,562.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.75 : 7,814.64 = 3,306.46 : x
  2. Step 2: Convert to fraction form
    5,662.75/7,814.64 = 3,306.46/x
  3. Step 3: Cross multiply
    5,662.75x = 7,814.64 × 3,306.46
  4. Step 4: Simplify right side
    5,662.75x = 25,838,794.57
  5. Step 5: Solve for x
    x = 25,838,794.57/5,662.75
  6. Step 6: Final answer
    x = 4,562.94

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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.