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Finding the Fourth Proportional to 10,469.76, 14,449.44 and 5,994

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Solution

The fourth proportional to 10,469.76, 14,449.44 and 5,994 is: 8,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.76 : 14,449.44 = 5,994 : x
  2. Step 2: Convert to fraction form
    10,469.76/14,449.44 = 5,994/x
  3. Step 3: Cross multiply
    10,469.76x = 14,449.44 × 5,994
  4. Step 4: Simplify right side
    10,469.76x = 86,609,943.36
  5. Step 5: Solve for x
    x = 86,609,943.36/10,469.76
  6. Step 6: Final answer
    x = 8,272.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.