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Finding the Fourth Proportional to 6,993.71, 10,492.77 and 3,295.79

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Solution

The fourth proportional to 6,993.71, 10,492.77 and 3,295.79 is: 4,944.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.71 : 10,492.77 = 3,295.79 : x
  2. Step 2: Convert to fraction form
    6,993.71/10,492.77 = 3,295.79/x
  3. Step 3: Cross multiply
    6,993.71x = 10,492.77 × 3,295.79
  4. Step 4: Simplify right side
    6,993.71x = 34,581,966.44
  5. Step 5: Solve for x
    x = 34,581,966.44/6,993.71
  6. Step 6: Final answer
    x = 4,944.72

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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.