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Finding the Fourth Proportional to 6,109.67, 8,449.10 and 5,999.00

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Solution

The fourth proportional to 6,109.67, 8,449.10 and 5,999.00 is: 8,296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.67 : 8,449.10 = 5,999.00 : x
  2. Step 2: Convert to fraction form
    6,109.67/8,449.10 = 5,999.00/x
  3. Step 3: Cross multiply
    6,109.67x = 8,449.10 × 5,999.00
  4. Step 4: Simplify right side
    6,109.67x = 50,686,078.66
  5. Step 5: Solve for x
    x = 50,686,078.66/6,109.67
  6. Step 6: Final answer
    x = 8,296.05

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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.