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Finding the Fourth Proportional to 7,694.76, 11,462.73 and 7,216.68

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Solution

The fourth proportional to 7,694.76, 11,462.73 and 7,216.68 is: 10,750.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.76 : 11,462.73 = 7,216.68 : x
  2. Step 2: Convert to fraction form
    7,694.76/11,462.73 = 7,216.68/x
  3. Step 3: Cross multiply
    7,694.76x = 11,462.73 × 7,216.68
  4. Step 4: Simplify right side
    7,694.76x = 82,722,854.34
  5. Step 5: Solve for x
    x = 82,722,854.34/7,694.76
  6. Step 6: Final answer
    x = 10,750.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.