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Finding the Fourth Proportional to 12,084.88, 16,678 and 6,707.60

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Solution

The fourth proportional to 12,084.88, 16,678 and 6,707.60 is: 9,256.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.88 : 16,678 = 6,707.60 : x
  2. Step 2: Convert to fraction form
    12,084.88/16,678 = 6,707.60/x
  3. Step 3: Cross multiply
    12,084.88x = 16,678 × 6,707.60
  4. Step 4: Simplify right side
    12,084.88x = 111,869,352.80
  5. Step 5: Solve for x
    x = 111,869,352.80/12,084.88
  6. Step 6: Final answer
    x = 9,256.97

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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.