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Finding the Fourth Proportional to 6,994.10, 9,651.87 and 3,807.38

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Solution

The fourth proportional to 6,994.10, 9,651.87 and 3,807.38 is: 5,254.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.10 : 9,651.87 = 3,807.38 : x
  2. Step 2: Convert to fraction form
    6,994.10/9,651.87 = 3,807.38/x
  3. Step 3: Cross multiply
    6,994.10x = 9,651.87 × 3,807.38
  4. Step 4: Simplify right side
    6,994.10x = 36,748,336.80
  5. Step 5: Solve for x
    x = 36,748,336.80/6,994.10
  6. Step 6: Final answer
    x = 5,254.19

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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.