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Finding the Fourth Proportional to 7,138.40, 10,691.40 and 4,222.40

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Solution

The fourth proportional to 7,138.40, 10,691.40 and 4,222.40 is: 6,324.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.40 : 10,691.40 = 4,222.40 : x
  2. Step 2: Convert to fraction form
    7,138.40/10,691.40 = 4,222.40/x
  3. Step 3: Cross multiply
    7,138.40x = 10,691.40 × 4,222.40
  4. Step 4: Simplify right side
    7,138.40x = 45,143,367.36
  5. Step 5: Solve for x
    x = 45,143,367.36/7,138.40
  6. Step 6: Final answer
    x = 6,324.02

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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.