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Finding the Fourth Proportional to 6,758.45, 10,138.20 and 2,376.89

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Solution

The fourth proportional to 6,758.45, 10,138.20 and 2,376.89 is: 3,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.45 : 10,138.20 = 2,376.89 : x
  2. Step 2: Convert to fraction form
    6,758.45/10,138.20 = 2,376.89/x
  3. Step 3: Cross multiply
    6,758.45x = 10,138.20 × 2,376.89
  4. Step 4: Simplify right side
    6,758.45x = 24,097,335.51
  5. Step 5: Solve for x
    x = 24,097,335.51/6,758.45
  6. Step 6: Final answer
    x = 3,565.51

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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.