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Finding the Fourth Proportional to 9,057.66, 12,489.04 and 8,497.24

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Solution

The fourth proportional to 9,057.66, 12,489.04 and 8,497.24 is: 11,716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.66 : 12,489.04 = 8,497.24 : x
  2. Step 2: Convert to fraction form
    9,057.66/12,489.04 = 8,497.24/x
  3. Step 3: Cross multiply
    9,057.66x = 12,489.04 × 8,497.24
  4. Step 4: Simplify right side
    9,057.66x = 106,122,301.85
  5. Step 5: Solve for x
    x = 106,122,301.85/9,057.66
  6. Step 6: Final answer
    x = 11,716.31

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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.