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Finding the Fourth Proportional to 10,678.54, 14,736.22 and 6,204.80

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Solution

The fourth proportional to 10,678.54, 14,736.22 and 6,204.80 is: 8,562.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.54 : 14,736.22 = 6,204.80 : x
  2. Step 2: Convert to fraction form
    10,678.54/14,736.22 = 6,204.80/x
  3. Step 3: Cross multiply
    10,678.54x = 14,736.22 × 6,204.80
  4. Step 4: Simplify right side
    10,678.54x = 91,435,297.86
  5. Step 5: Solve for x
    x = 91,435,297.86/10,678.54
  6. Step 6: Final answer
    x = 8,562.53

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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.