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Finding the Fourth Proportional to 10,704.69, 14,773.86 and 6,229.80

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Solution

The fourth proportional to 10,704.69, 14,773.86 and 6,229.80 is: 8,597.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.69 : 14,773.86 = 6,229.80 : x
  2. Step 2: Convert to fraction form
    10,704.69/14,773.86 = 6,229.80/x
  3. Step 3: Cross multiply
    10,704.69x = 14,773.86 × 6,229.80
  4. Step 4: Simplify right side
    10,704.69x = 92,038,193.03
  5. Step 5: Solve for x
    x = 92,038,193.03/10,704.69
  6. Step 6: Final answer
    x = 8,597.93

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1.5x scale

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.