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Finding the Fourth Proportional to 9,919.72, 13,683.06 and 8,591.14

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Solution

The fourth proportional to 9,919.72, 13,683.06 and 8,591.14 is: 11,850.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.72 : 13,683.06 = 8,591.14 : x
  2. Step 2: Convert to fraction form
    9,919.72/13,683.06 = 8,591.14/x
  3. Step 3: Cross multiply
    9,919.72x = 13,683.06 × 8,591.14
  4. Step 4: Simplify right side
    9,919.72x = 117,553,084.09
  5. Step 5: Solve for x
    x = 117,553,084.09/9,919.72
  6. Step 6: Final answer
    x = 11,850.44

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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.