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Finding the Fourth Proportional to 8,034.85, 11,082.41 and 6,913.86

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Solution

The fourth proportional to 8,034.85, 11,082.41 and 6,913.86 is: 9,536.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.85 : 11,082.41 = 6,913.86 : x
  2. Step 2: Convert to fraction form
    8,034.85/11,082.41 = 6,913.86/x
  3. Step 3: Cross multiply
    8,034.85x = 11,082.41 × 6,913.86
  4. Step 4: Simplify right side
    8,034.85x = 76,622,231.20
  5. Step 5: Solve for x
    x = 76,622,231.20/8,034.85
  6. Step 6: Final answer
    x = 9,536.24

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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.