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Finding the Fourth Proportional to 11,813.13, 16,301.93 and 6,508.44

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Solution

The fourth proportional to 11,813.13, 16,301.93 and 6,508.44 is: 8,981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.13 : 16,301.93 = 6,508.44 : x
  2. Step 2: Convert to fraction form
    11,813.13/16,301.93 = 6,508.44/x
  3. Step 3: Cross multiply
    11,813.13x = 16,301.93 × 6,508.44
  4. Step 4: Simplify right side
    11,813.13x = 106,100,100.75
  5. Step 5: Solve for x
    x = 106,100,100.75/11,813.13
  6. Step 6: Final answer
    x = 8,981.54

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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.