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Finding the Fourth Proportional to 11,588.91, 15,993.13 and 6,553.68

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Solution

The fourth proportional to 11,588.91, 15,993.13 and 6,553.68 is: 9,044.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.91 : 15,993.13 = 6,553.68 : x
  2. Step 2: Convert to fraction form
    11,588.91/15,993.13 = 6,553.68/x
  3. Step 3: Cross multiply
    11,588.91x = 15,993.13 × 6,553.68
  4. Step 4: Simplify right side
    11,588.91x = 104,813,856.22
  5. Step 5: Solve for x
    x = 104,813,856.22/11,588.91
  6. Step 6: Final answer
    x = 9,044.32

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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.