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Finding the Fourth Proportional to 9,083.84, 13,607.40 and 8,327.84

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Solution

The fourth proportional to 9,083.84, 13,607.40 and 8,327.84 is: 12,474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.84 : 13,607.40 = 8,327.84 : x
  2. Step 2: Convert to fraction form
    9,083.84/13,607.40 = 8,327.84/x
  3. Step 3: Cross multiply
    9,083.84x = 13,607.40 × 8,327.84
  4. Step 4: Simplify right side
    9,083.84x = 113,320,250.02
  5. Step 5: Solve for x
    x = 113,320,250.02/9,083.84
  6. Step 6: Final answer
    x = 12,474.93

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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.