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Finding the Fourth Proportional to 11,494, 15,863.92 and 7,508.24

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Solution

The fourth proportional to 11,494, 15,863.92 and 7,508.24 is: 10,362.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494 : 15,863.92 = 7,508.24 : x
  2. Step 2: Convert to fraction form
    11,494/15,863.92 = 7,508.24/x
  3. Step 3: Cross multiply
    11,494x = 15,863.92 × 7,508.24
  4. Step 4: Simplify right side
    11,494x = 119,110,118.70
  5. Step 5: Solve for x
    x = 119,110,118.70/11,494
  6. Step 6: Final answer
    x = 10,362.81

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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.