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Finding the Fourth Proportional to 11,474.60, 16,099 and 11,474.60

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Solution

The fourth proportional to 11,474.60, 16,099 and 11,474.60 is: 16,099

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.60 : 16,099 = 11,474.60 : x
  2. Step 2: Convert to fraction form
    11,474.60/16,099 = 11,474.60/x
  3. Step 3: Cross multiply
    11,474.60x = 16,099 × 11,474.60
  4. Step 4: Simplify right side
    11,474.60x = 184,729,585.40
  5. Step 5: Solve for x
    x = 184,729,585.40/11,474.60
  6. Step 6: Final answer
    x = 16,099

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.