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Finding the Fourth Proportional to 11,524.79, 15,873.14 and 9,950.15

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Solution

The fourth proportional to 11,524.79, 15,873.14 and 9,950.15 is: 13,704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.79 : 15,873.14 = 9,950.15 : x
  2. Step 2: Convert to fraction form
    11,524.79/15,873.14 = 9,950.15/x
  3. Step 3: Cross multiply
    11,524.79x = 15,873.14 × 9,950.15
  4. Step 4: Simplify right side
    11,524.79x = 157,940,069.48
  5. Step 5: Solve for x
    x = 157,940,069.48/11,524.79
  6. Step 6: Final answer
    x = 13,704.38

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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.