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Finding the Fourth Proportional to 9,993.06, 13,786.07 and 6,011.91

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Solution

The fourth proportional to 9,993.06, 13,786.07 and 6,011.91 is: 8,293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.06 : 13,786.07 = 6,011.91 : x
  2. Step 2: Convert to fraction form
    9,993.06/13,786.07 = 6,011.91/x
  3. Step 3: Cross multiply
    9,993.06x = 13,786.07 × 6,011.91
  4. Step 4: Simplify right side
    9,993.06x = 82,880,582.03
  5. Step 5: Solve for x
    x = 82,880,582.03/9,993.06
  6. Step 6: Final answer
    x = 8,293.81

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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.