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Finding the Fourth Proportional to 11,593.50, 15,998.86 and 6,288.21

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Solution

The fourth proportional to 11,593.50, 15,998.86 and 6,288.21 is: 8,677.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.50 : 15,998.86 = 6,288.21 : x
  2. Step 2: Convert to fraction form
    11,593.50/15,998.86 = 6,288.21/x
  3. Step 3: Cross multiply
    11,593.50x = 15,998.86 × 6,288.21
  4. Step 4: Simplify right side
    11,593.50x = 100,604,191.44
  5. Step 5: Solve for x
    x = 100,604,191.44/11,593.50
  6. Step 6: Final answer
    x = 8,677.64

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Double scale
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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.