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Finding the Fourth Proportional to 6,468.11, 9,703.17 and 2,086.01

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Solution

The fourth proportional to 6,468.11, 9,703.17 and 2,086.01 is: 3,129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.11 : 9,703.17 = 2,086.01 : x
  2. Step 2: Convert to fraction form
    6,468.11/9,703.17 = 2,086.01/x
  3. Step 3: Cross multiply
    6,468.11x = 9,703.17 × 2,086.01
  4. Step 4: Simplify right side
    6,468.11x = 20,240,909.65
  5. Step 5: Solve for x
    x = 20,240,909.65/6,468.11
  6. Step 6: Final answer
    x = 3,129.34

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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.