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Finding the Fourth Proportional to 10,593.64, 14,625.66 and 8,231.32

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Solution

The fourth proportional to 10,593.64, 14,625.66 and 8,231.32 is: 11,364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.64 : 14,625.66 = 8,231.32 : x
  2. Step 2: Convert to fraction form
    10,593.64/14,625.66 = 8,231.32/x
  3. Step 3: Cross multiply
    10,593.64x = 14,625.66 × 8,231.32
  4. Step 4: Simplify right side
    10,593.64x = 120,388,487.67
  5. Step 5: Solve for x
    x = 120,388,487.67/10,593.64
  6. Step 6: Final answer
    x = 11,364.22

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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.