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Finding the Fourth Proportional to 6,967.47, 10,447.92 and 2,584.56

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Solution

The fourth proportional to 6,967.47, 10,447.92 and 2,584.56 is: 3,875.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.47 : 10,447.92 = 2,584.56 : x
  2. Step 2: Convert to fraction form
    6,967.47/10,447.92 = 2,584.56/x
  3. Step 3: Cross multiply
    6,967.47x = 10,447.92 × 2,584.56
  4. Step 4: Simplify right side
    6,967.47x = 27,003,276.12
  5. Step 5: Solve for x
    x = 27,003,276.12/6,967.47
  6. Step 6: Final answer
    x = 3,875.62

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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.