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Finding the Fourth Proportional to 6,707.70, 10,063.26 and 3,420.72

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Solution

The fourth proportional to 6,707.70, 10,063.26 and 3,420.72 is: 5,131.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.70 : 10,063.26 = 3,420.72 : x
  2. Step 2: Convert to fraction form
    6,707.70/10,063.26 = 3,420.72/x
  3. Step 3: Cross multiply
    6,707.70x = 10,063.26 × 3,420.72
  4. Step 4: Simplify right side
    6,707.70x = 34,423,594.75
  5. Step 5: Solve for x
    x = 34,423,594.75/6,707.70
  6. Step 6: Final answer
    x = 5,131.95

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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.