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Finding the Fourth Proportional to 6,703.64, 10,055.92 and 2,024.82

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Solution

The fourth proportional to 6,703.64, 10,055.92 and 2,024.82 is: 3,037.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.64 : 10,055.92 = 2,024.82 : x
  2. Step 2: Convert to fraction form
    6,703.64/10,055.92 = 2,024.82/x
  3. Step 3: Cross multiply
    6,703.64x = 10,055.92 × 2,024.82
  4. Step 4: Simplify right side
    6,703.64x = 20,361,427.93
  5. Step 5: Solve for x
    x = 20,361,427.93/6,703.64
  6. Step 6: Final answer
    x = 3,037.37

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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.