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Finding the Fourth Proportional to 10,704.86, 14,772.06 and 6,227.58

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Solution

The fourth proportional to 10,704.86, 14,772.06 and 6,227.58 is: 8,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.86 : 14,772.06 = 6,227.58 : x
  2. Step 2: Convert to fraction form
    10,704.86/14,772.06 = 6,227.58/x
  3. Step 3: Cross multiply
    10,704.86x = 14,772.06 × 6,227.58
  4. Step 4: Simplify right side
    10,704.86x = 91,994,185.41
  5. Step 5: Solve for x
    x = 91,994,185.41/10,704.86
  6. Step 6: Final answer
    x = 8,593.68

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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.