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Finding the Fourth Proportional to 10,096.40, 15,138.60 and 6,203.60

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Solution

The fourth proportional to 10,096.40, 15,138.60 and 6,203.60 is: 9,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.40 : 15,138.60 = 6,203.60 : x
  2. Step 2: Convert to fraction form
    10,096.40/15,138.60 = 6,203.60/x
  3. Step 3: Cross multiply
    10,096.40x = 15,138.60 × 6,203.60
  4. Step 4: Simplify right side
    10,096.40x = 93,913,818.96
  5. Step 5: Solve for x
    x = 93,913,818.96/10,096.40
  6. Step 6: Final answer
    x = 9,301.71

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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.