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Finding the Fourth Proportional to 6,707.70, 10,061.13 and 2,027.70

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Solution

The fourth proportional to 6,707.70, 10,061.13 and 2,027.70 is: 3,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.70 : 10,061.13 = 2,027.70 : x
  2. Step 2: Convert to fraction form
    6,707.70/10,061.13 = 2,027.70/x
  3. Step 3: Cross multiply
    6,707.70x = 10,061.13 × 2,027.70
  4. Step 4: Simplify right side
    6,707.70x = 20,400,953.30
  5. Step 5: Solve for x
    x = 20,400,953.30/6,707.70
  6. Step 6: Final answer
    x = 3,041.42

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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.