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Finding the Fourth Proportional to 11,754.92, 16,217.28 and 7,506.12

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Solution

The fourth proportional to 11,754.92, 16,217.28 and 7,506.12 is: 10,355.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.92 : 16,217.28 = 7,506.12 : x
  2. Step 2: Convert to fraction form
    11,754.92/16,217.28 = 7,506.12/x
  3. Step 3: Cross multiply
    11,754.92x = 16,217.28 × 7,506.12
  4. Step 4: Simplify right side
    11,754.92x = 121,728,849.75
  5. Step 5: Solve for x
    x = 121,728,849.75/11,754.92
  6. Step 6: Final answer
    x = 10,355.57

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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.