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Finding the Fourth Proportional to 6,708.84, 10,062.99 and 3,421.86

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Solution

The fourth proportional to 6,708.84, 10,062.99 and 3,421.86 is: 5,132.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.84 : 10,062.99 = 3,421.86 : x
  2. Step 2: Convert to fraction form
    6,708.84/10,062.99 = 3,421.86/x
  3. Step 3: Cross multiply
    6,708.84x = 10,062.99 × 3,421.86
  4. Step 4: Simplify right side
    6,708.84x = 34,434,142.96
  5. Step 5: Solve for x
    x = 34,434,142.96/6,708.84
  6. Step 6: Final answer
    x = 5,132.65

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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.