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Finding the Fourth Proportional to 6,965.80, 10,456.80 and 4,195.60

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Solution

The fourth proportional to 6,965.80, 10,456.80 and 4,195.60 is: 6,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.80 : 10,456.80 = 4,195.60 : x
  2. Step 2: Convert to fraction form
    6,965.80/10,456.80 = 4,195.60/x
  3. Step 3: Cross multiply
    6,965.80x = 10,456.80 × 4,195.60
  4. Step 4: Simplify right side
    6,965.80x = 43,872,550.08
  5. Step 5: Solve for x
    x = 43,872,550.08/6,965.80
  6. Step 6: Final answer
    x = 6,298.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.