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Finding the Fourth Proportional to 6,200.79, 9,301.14 and 2,913.86

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Solution

The fourth proportional to 6,200.79, 9,301.14 and 2,913.86 is: 4,370.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.79 : 9,301.14 = 2,913.86 : x
  2. Step 2: Convert to fraction form
    6,200.79/9,301.14 = 2,913.86/x
  3. Step 3: Cross multiply
    6,200.79x = 9,301.14 × 2,913.86
  4. Step 4: Simplify right side
    6,200.79x = 27,102,173.29
  5. Step 5: Solve for x
    x = 27,102,173.29/6,200.79
  6. Step 6: Final answer
    x = 4,370.76

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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.