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Finding the Fourth Proportional to 6,993.84, 10,492.74 and 2,832.92

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Solution

The fourth proportional to 6,993.84, 10,492.74 and 2,832.92 is: 4,250.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.84 : 10,492.74 = 2,832.92 : x
  2. Step 2: Convert to fraction form
    6,993.84/10,492.74 = 2,832.92/x
  3. Step 3: Cross multiply
    6,993.84x = 10,492.74 × 2,832.92
  4. Step 4: Simplify right side
    6,993.84x = 29,725,138.91
  5. Step 5: Solve for x
    x = 29,725,138.91/6,993.84
  6. Step 6: Final answer
    x = 4,250.19

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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.