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Finding the Fourth Proportional to 6,082.09, 9,112.20 and 5,655.63

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Solution

The fourth proportional to 6,082.09, 9,112.20 and 5,655.63 is: 8,473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.09 : 9,112.20 = 5,655.63 : x
  2. Step 2: Convert to fraction form
    6,082.09/9,112.20 = 5,655.63/x
  3. Step 3: Cross multiply
    6,082.09x = 9,112.20 × 5,655.63
  4. Step 4: Simplify right side
    6,082.09x = 51,535,231.69
  5. Step 5: Solve for x
    x = 51,535,231.69/6,082.09
  6. Step 6: Final answer
    x = 8,473.28

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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.