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Finding the Fourth Proportional to 6,994.68, 10,487.16 and 3,096.96

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Solution

The fourth proportional to 6,994.68, 10,487.16 and 3,096.96 is: 4,643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.68 : 10,487.16 = 3,096.96 : x
  2. Step 2: Convert to fraction form
    6,994.68/10,487.16 = 3,096.96/x
  3. Step 3: Cross multiply
    6,994.68x = 10,487.16 × 3,096.96
  4. Step 4: Simplify right side
    6,994.68x = 32,478,315.03
  5. Step 5: Solve for x
    x = 32,478,315.03/6,994.68
  6. Step 6: Final answer
    x = 4,643.29

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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.