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Finding the Fourth Proportional to 6,758, 10,135.44 and 2,596.64

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Solution

The fourth proportional to 6,758, 10,135.44 and 2,596.64 is: 3,894.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758 : 10,135.44 = 2,596.64 : x
  2. Step 2: Convert to fraction form
    6,758/10,135.44 = 2,596.64/x
  3. Step 3: Cross multiply
    6,758x = 10,135.44 × 2,596.64
  4. Step 4: Simplify right side
    6,758x = 26,318,088.92
  5. Step 5: Solve for x
    x = 26,318,088.92/6,758
  6. Step 6: Final answer
    x = 3,894.36

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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.