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Finding the Fourth Proportional to 6,703.56, 10,054.92 and 2,023.32

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Solution

The fourth proportional to 6,703.56, 10,054.92 and 2,023.32 is: 3,034.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.56 : 10,054.92 = 2,023.32 : x
  2. Step 2: Convert to fraction form
    6,703.56/10,054.92 = 2,023.32/x
  3. Step 3: Cross multiply
    6,703.56x = 10,054.92 × 2,023.32
  4. Step 4: Simplify right side
    6,703.56x = 20,344,320.73
  5. Step 5: Solve for x
    x = 20,344,320.73/6,703.56
  6. Step 6: Final answer
    x = 3,034.85

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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.