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Finding the Fourth Proportional to 10,974.64, 15,147.36 and 6,994.84

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Solution

The fourth proportional to 10,974.64, 15,147.36 and 6,994.84 is: 9,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.64 : 15,147.36 = 6,994.84 : x
  2. Step 2: Convert to fraction form
    10,974.64/15,147.36 = 6,994.84/x
  3. Step 3: Cross multiply
    10,974.64x = 15,147.36 × 6,994.84
  4. Step 4: Simplify right side
    10,974.64x = 105,953,359.62
  5. Step 5: Solve for x
    x = 105,953,359.62/10,974.64
  6. Step 6: Final answer
    x = 9,654.38

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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.