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Finding the Fourth Proportional to 7,785.62, 11,669.58 and 6,846.73

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Solution

The fourth proportional to 7,785.62, 11,669.58 and 6,846.73 is: 10,262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.62 : 11,669.58 = 6,846.73 : x
  2. Step 2: Convert to fraction form
    7,785.62/11,669.58 = 6,846.73/x
  3. Step 3: Cross multiply
    7,785.62x = 11,669.58 × 6,846.73
  4. Step 4: Simplify right side
    7,785.62x = 79,898,499.94
  5. Step 5: Solve for x
    x = 79,898,499.94/7,785.62
  6. Step 6: Final answer
    x = 10,262.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.