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Finding the Fourth Proportional to 8,832.31, 12,193.32 and 6,811.30

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Solution

The fourth proportional to 8,832.31, 12,193.32 and 6,811.30 is: 9,403.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.31 : 12,193.32 = 6,811.30 : x
  2. Step 2: Convert to fraction form
    8,832.31/12,193.32 = 6,811.30/x
  3. Step 3: Cross multiply
    8,832.31x = 12,193.32 × 6,811.30
  4. Step 4: Simplify right side
    8,832.31x = 83,052,401.30
  5. Step 5: Solve for x
    x = 83,052,401.30/8,832.31
  6. Step 6: Final answer
    x = 9,403.25

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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.