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Finding the Fourth Proportional to 6,998.24, 10,494 and 3,712.88

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Solution

The fourth proportional to 6,998.24, 10,494 and 3,712.88 is: 5,567.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.24 : 10,494 = 3,712.88 : x
  2. Step 2: Convert to fraction form
    6,998.24/10,494 = 3,712.88/x
  3. Step 3: Cross multiply
    6,998.24x = 10,494 × 3,712.88
  4. Step 4: Simplify right side
    6,998.24x = 38,962,962.72
  5. Step 5: Solve for x
    x = 38,962,962.72/6,998.24
  6. Step 6: Final answer
    x = 5,567.54

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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.