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Finding the Fourth Proportional to 6,737.48, 10,107.30 and 1,994.12

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Solution

The fourth proportional to 6,737.48, 10,107.30 and 1,994.12 is: 2,991.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.48 : 10,107.30 = 1,994.12 : x
  2. Step 2: Convert to fraction form
    6,737.48/10,107.30 = 1,994.12/x
  3. Step 3: Cross multiply
    6,737.48x = 10,107.30 × 1,994.12
  4. Step 4: Simplify right side
    6,737.48x = 20,155,159.11
  5. Step 5: Solve for x
    x = 20,155,159.11/6,737.48
  6. Step 6: Final answer
    x = 2,991.50

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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.