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Finding the Fourth Proportional to 7,138.46, 10,703.70 and 2,206.70

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Solution

The fourth proportional to 7,138.46, 10,703.70 and 2,206.70 is: 3,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.46 : 10,703.70 = 2,206.70 : x
  2. Step 2: Convert to fraction form
    7,138.46/10,703.70 = 2,206.70/x
  3. Step 3: Cross multiply
    7,138.46x = 10,703.70 × 2,206.70
  4. Step 4: Simplify right side
    7,138.46x = 23,619,854.79
  5. Step 5: Solve for x
    x = 23,619,854.79/7,138.46
  6. Step 6: Final answer
    x = 3,308.82

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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.