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Finding the Fourth Proportional to 11,593.62, 15,999.04 and 6,288.32

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Solution

The fourth proportional to 11,593.62, 15,999.04 and 6,288.32 is: 8,677.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.62 : 15,999.04 = 6,288.32 : x
  2. Step 2: Convert to fraction form
    11,593.62/15,999.04 = 6,288.32/x
  3. Step 3: Cross multiply
    11,593.62x = 15,999.04 × 6,288.32
  4. Step 4: Simplify right side
    11,593.62x = 100,607,083.21
  5. Step 5: Solve for x
    x = 100,607,083.21/11,593.62
  6. Step 6: Final answer
    x = 8,677.80

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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.