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Finding the Fourth Proportional to 6,994.73, 10,491.76 and 1,729.72

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Solution

The fourth proportional to 6,994.73, 10,491.76 and 1,729.72 is: 2,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.73 : 10,491.76 = 1,729.72 : x
  2. Step 2: Convert to fraction form
    6,994.73/10,491.76 = 1,729.72/x
  3. Step 3: Cross multiply
    6,994.73x = 10,491.76 × 1,729.72
  4. Step 4: Simplify right side
    6,994.73x = 18,147,837.66
  5. Step 5: Solve for x
    x = 18,147,837.66/6,994.73
  6. Step 6: Final answer
    x = 2,594.50

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1.5x scale

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.