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Finding the Fourth Proportional to 9,993.91, 14,966.97 and 5,764.35

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Solution

The fourth proportional to 9,993.91, 14,966.97 and 5,764.35 is: 8,632.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.91 : 14,966.97 = 5,764.35 : x
  2. Step 2: Convert to fraction form
    9,993.91/14,966.97 = 5,764.35/x
  3. Step 3: Cross multiply
    9,993.91x = 14,966.97 × 5,764.35
  4. Step 4: Simplify right side
    9,993.91x = 86,274,797.69
  5. Step 5: Solve for x
    x = 86,274,797.69/9,993.91
  6. Step 6: Final answer
    x = 8,632.73

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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.