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Finding the Fourth Proportional to 7,178.50, 10,768 and 2,498.56

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Solution

The fourth proportional to 7,178.50, 10,768 and 2,498.56 is: 3,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.50 : 10,768 = 2,498.56 : x
  2. Step 2: Convert to fraction form
    7,178.50/10,768 = 2,498.56/x
  3. Step 3: Cross multiply
    7,178.50x = 10,768 × 2,498.56
  4. Step 4: Simplify right side
    7,178.50x = 26,904,494.08
  5. Step 5: Solve for x
    x = 26,904,494.08/7,178.50
  6. Step 6: Final answer
    x = 3,747.93

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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.