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Finding the Fourth Proportional to 10,662.24, 15,994.52 and 4,094

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Solution

The fourth proportional to 10,662.24, 15,994.52 and 4,094 is: 6,141.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.24 : 15,994.52 = 4,094 : x
  2. Step 2: Convert to fraction form
    10,662.24/15,994.52 = 4,094/x
  3. Step 3: Cross multiply
    10,662.24x = 15,994.52 × 4,094
  4. Step 4: Simplify right side
    10,662.24x = 65,481,564.88
  5. Step 5: Solve for x
    x = 65,481,564.88/10,662.24
  6. Step 6: Final answer
    x = 6,141.45

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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.