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Finding the Fourth Proportional to 10,099.54, 15,138.78 and 5,936.14

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Solution

The fourth proportional to 10,099.54, 15,138.78 and 5,936.14 is: 8,898.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.54 : 15,138.78 = 5,936.14 : x
  2. Step 2: Convert to fraction form
    10,099.54/15,138.78 = 5,936.14/x
  3. Step 3: Cross multiply
    10,099.54x = 15,138.78 × 5,936.14
  4. Step 4: Simplify right side
    10,099.54x = 89,865,917.51
  5. Step 5: Solve for x
    x = 89,865,917.51/10,099.54
  6. Step 6: Final answer
    x = 8,898.02

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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.