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Finding the Fourth Proportional to 6,707.64, 10,061.72 and 3,195.84

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Solution

The fourth proportional to 6,707.64, 10,061.72 and 3,195.84 is: 4,793.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.64 : 10,061.72 = 3,195.84 : x
  2. Step 2: Convert to fraction form
    6,707.64/10,061.72 = 3,195.84/x
  3. Step 3: Cross multiply
    6,707.64x = 10,061.72 × 3,195.84
  4. Step 4: Simplify right side
    6,707.64x = 32,155,647.24
  5. Step 5: Solve for x
    x = 32,155,647.24/6,707.64
  6. Step 6: Final answer
    x = 4,793.88

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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.