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Finding the Fourth Proportional to 11,710.56, 17,634.56 and 8,446.24

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Solution

The fourth proportional to 11,710.56, 17,634.56 and 8,446.24 is: 12,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.56 : 17,634.56 = 8,446.24 : x
  2. Step 2: Convert to fraction form
    11,710.56/17,634.56 = 8,446.24/x
  3. Step 3: Cross multiply
    11,710.56x = 17,634.56 × 8,446.24
  4. Step 4: Simplify right side
    11,710.56x = 148,945,726.05
  5. Step 5: Solve for x
    x = 148,945,726.05/11,710.56
  6. Step 6: Final answer
    x = 12,718.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.