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Finding the Fourth Proportional to 7,604.46, 10,488.38 and 6,544

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Solution

The fourth proportional to 7,604.46, 10,488.38 and 6,544 is: 9,025.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.46 : 10,488.38 = 6,544 : x
  2. Step 2: Convert to fraction form
    7,604.46/10,488.38 = 6,544/x
  3. Step 3: Cross multiply
    7,604.46x = 10,488.38 × 6,544
  4. Step 4: Simplify right side
    7,604.46x = 68,635,958.72
  5. Step 5: Solve for x
    x = 68,635,958.72/7,604.46
  6. Step 6: Final answer
    x = 9,025.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.