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Finding the Fourth Proportional to 6,950.83, 9,594.23 and 6,016.65

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Solution

The fourth proportional to 6,950.83, 9,594.23 and 6,016.65 is: 8,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.83 : 9,594.23 = 6,016.65 : x
  2. Step 2: Convert to fraction form
    6,950.83/9,594.23 = 6,016.65/x
  3. Step 3: Cross multiply
    6,950.83x = 9,594.23 × 6,016.65
  4. Step 4: Simplify right side
    6,950.83x = 57,725,093.85
  5. Step 5: Solve for x
    x = 57,725,093.85/6,950.83
  6. Step 6: Final answer
    x = 8,304.78

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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.