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Finding the Fourth Proportional to 11,527.83, 15,891.66 and 9,927.56

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Solution

The fourth proportional to 11,527.83, 15,891.66 and 9,927.56 is: 13,685.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.83 : 15,891.66 = 9,927.56 : x
  2. Step 2: Convert to fraction form
    11,527.83/15,891.66 = 9,927.56/x
  3. Step 3: Cross multiply
    11,527.83x = 15,891.66 × 9,927.56
  4. Step 4: Simplify right side
    11,527.83x = 157,765,408.15
  5. Step 5: Solve for x
    x = 157,765,408.15/11,527.83
  6. Step 6: Final answer
    x = 13,685.61

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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.