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Finding the Fourth Proportional to 11,524.92, 17,275.07 and 8,228.01

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Solution

The fourth proportional to 11,524.92, 17,275.07 and 8,228.01 is: 12,333.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.92 : 17,275.07 = 8,228.01 : x
  2. Step 2: Convert to fraction form
    11,524.92/17,275.07 = 8,228.01/x
  3. Step 3: Cross multiply
    11,524.92x = 17,275.07 × 8,228.01
  4. Step 4: Simplify right side
    11,524.92x = 142,139,534.06
  5. Step 5: Solve for x
    x = 142,139,534.06/11,524.92
  6. Step 6: Final answer
    x = 12,333.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.