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Finding the Fourth Proportional to 6,878.80, 9,496.20 and 5,755.60

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Solution

The fourth proportional to 6,878.80, 9,496.20 and 5,755.60 is: 7,945.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.80 : 9,496.20 = 5,755.60 : x
  2. Step 2: Convert to fraction form
    6,878.80/9,496.20 = 5,755.60/x
  3. Step 3: Cross multiply
    6,878.80x = 9,496.20 × 5,755.60
  4. Step 4: Simplify right side
    6,878.80x = 54,656,328.72
  5. Step 5: Solve for x
    x = 54,656,328.72/6,878.80
  6. Step 6: Final answer
    x = 7,945.62

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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.