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Finding the Fourth Proportional to 6,994.50, 10,493.37 and 5,043.21

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Solution

The fourth proportional to 6,994.50, 10,493.37 and 5,043.21 is: 7,565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.50 : 10,493.37 = 5,043.21 : x
  2. Step 2: Convert to fraction form
    6,994.50/10,493.37 = 5,043.21/x
  3. Step 3: Cross multiply
    6,994.50x = 10,493.37 × 5,043.21
  4. Step 4: Simplify right side
    6,994.50x = 52,920,268.52
  5. Step 5: Solve for x
    x = 52,920,268.52/6,994.50
  6. Step 6: Final answer
    x = 7,565.98

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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.