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Finding the Fourth Proportional to 9,233.85, 13,850.78 and 8,427.45

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Solution

The fourth proportional to 9,233.85, 13,850.78 and 8,427.45 is: 12,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.85 : 13,850.78 = 8,427.45 : x
  2. Step 2: Convert to fraction form
    9,233.85/13,850.78 = 8,427.45/x
  3. Step 3: Cross multiply
    9,233.85x = 13,850.78 × 8,427.45
  4. Step 4: Simplify right side
    9,233.85x = 116,726,713.77
  5. Step 5: Solve for x
    x = 116,726,713.77/9,233.85
  6. Step 6: Final answer
    x = 12,641.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.