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Finding the Fourth Proportional to 10,314.69, 15,476.97 and 4,764.98

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Solution

The fourth proportional to 10,314.69, 15,476.97 and 4,764.98 is: 7,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.69 : 15,476.97 = 4,764.98 : x
  2. Step 2: Convert to fraction form
    10,314.69/15,476.97 = 4,764.98/x
  3. Step 3: Cross multiply
    10,314.69x = 15,476.97 × 4,764.98
  4. Step 4: Simplify right side
    10,314.69x = 73,747,375.13
  5. Step 5: Solve for x
    x = 73,747,375.13/10,314.69
  6. Step 6: Final answer
    x = 7,149.74

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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.