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Finding the Fourth Proportional to 6,703.56, 10,055.34 and 3,949.43

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Solution

The fourth proportional to 6,703.56, 10,055.34 and 3,949.43 is: 5,924.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.56 : 10,055.34 = 3,949.43 : x
  2. Step 2: Convert to fraction form
    6,703.56/10,055.34 = 3,949.43/x
  3. Step 3: Cross multiply
    6,703.56x = 10,055.34 × 3,949.43
  4. Step 4: Simplify right side
    6,703.56x = 39,712,811.18
  5. Step 5: Solve for x
    x = 39,712,811.18/6,703.56
  6. Step 6: Final answer
    x = 5,924.14

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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.