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Finding the Fourth Proportional to 10,634, 14,674.32 and 5,853.84

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Solution

The fourth proportional to 10,634, 14,674.32 and 5,853.84 is: 8,077.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634 : 14,674.32 = 5,853.84 : x
  2. Step 2: Convert to fraction form
    10,634/14,674.32 = 5,853.84/x
  3. Step 3: Cross multiply
    10,634x = 14,674.32 × 5,853.84
  4. Step 4: Simplify right side
    10,634x = 85,901,121.39
  5. Step 5: Solve for x
    x = 85,901,121.39/10,634
  6. Step 6: Final answer
    x = 8,077.97

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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.