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Finding the Fourth Proportional to 7,986.09, 11,022.12 and 6,094.11

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Solution

The fourth proportional to 7,986.09, 11,022.12 and 6,094.11 is: 8,410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986.09 : 11,022.12 = 6,094.11 : x
  2. Step 2: Convert to fraction form
    7,986.09/11,022.12 = 6,094.11/x
  3. Step 3: Cross multiply
    7,986.09x = 11,022.12 × 6,094.11
  4. Step 4: Simplify right side
    7,986.09x = 67,170,011.71
  5. Step 5: Solve for x
    x = 67,170,011.71/7,986.09
  6. Step 6: Final answer
    x = 8,410.88

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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.