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Finding the Fourth Proportional to 6,437.61, 9,653.04 and 2,738.61

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Solution

The fourth proportional to 6,437.61, 9,653.04 and 2,738.61 is: 4,106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.61 : 9,653.04 = 2,738.61 : x
  2. Step 2: Convert to fraction form
    6,437.61/9,653.04 = 2,738.61/x
  3. Step 3: Cross multiply
    6,437.61x = 9,653.04 × 2,738.61
  4. Step 4: Simplify right side
    6,437.61x = 26,435,911.87
  5. Step 5: Solve for x
    x = 26,435,911.87/6,437.61
  6. Step 6: Final answer
    x = 4,106.48

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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.