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Finding the Fourth Proportional to 10,489.64, 14,474.00 and 6,012.56

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Solution

The fourth proportional to 10,489.64, 14,474.00 and 6,012.56 is: 8,296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.64 : 14,474.00 = 6,012.56 : x
  2. Step 2: Convert to fraction form
    10,489.64/14,474.00 = 6,012.56/x
  3. Step 3: Cross multiply
    10,489.64x = 14,474.00 × 6,012.56
  4. Step 4: Simplify right side
    10,489.64x = 87,025,844.66
  5. Step 5: Solve for x
    x = 87,025,844.66/10,489.64
  6. Step 6: Final answer
    x = 8,296.37

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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.