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Finding the Fourth Proportional to 6,740.99, 9,311.63 and 6,112.22

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Solution

The fourth proportional to 6,740.99, 9,311.63 and 6,112.22 is: 8,443.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.99 : 9,311.63 = 6,112.22 : x
  2. Step 2: Convert to fraction form
    6,740.99/9,311.63 = 6,112.22/x
  3. Step 3: Cross multiply
    6,740.99x = 9,311.63 × 6,112.22
  4. Step 4: Simplify right side
    6,740.99x = 56,914,654.00
  5. Step 5: Solve for x
    x = 56,914,654.00/6,740.99
  6. Step 6: Final answer
    x = 8,443.08

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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.