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Finding the Fourth Proportional to 6,834.96, 10,254.04 and 2,937.20

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Solution

The fourth proportional to 6,834.96, 10,254.04 and 2,937.20 is: 4,406.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.96 : 10,254.04 = 2,937.20 : x
  2. Step 2: Convert to fraction form
    6,834.96/10,254.04 = 2,937.20/x
  3. Step 3: Cross multiply
    6,834.96x = 10,254.04 × 2,937.20
  4. Step 4: Simplify right side
    6,834.96x = 30,118,166.29
  5. Step 5: Solve for x
    x = 30,118,166.29/6,834.96
  6. Step 6: Final answer
    x = 4,406.49

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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.