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Finding the Fourth Proportional to 9,414.73, 12,985.77 and 8,233.75

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Solution

The fourth proportional to 9,414.73, 12,985.77 and 8,233.75 is: 11,356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.73 : 12,985.77 = 8,233.75 : x
  2. Step 2: Convert to fraction form
    9,414.73/12,985.77 = 8,233.75/x
  3. Step 3: Cross multiply
    9,414.73x = 12,985.77 × 8,233.75
  4. Step 4: Simplify right side
    9,414.73x = 106,921,584.53
  5. Step 5: Solve for x
    x = 106,921,584.53/9,414.73
  6. Step 6: Final answer
    x = 11,356.84

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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.